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102201001120020 = 223511374185135181
BaseRepresentation
bin10111001111001110000110…
…010111100001000100010100
3111101212022122111020020020110
4113033032012113201010110
5101343430122241320040
61001210254115203020
730345531040031505
oct2717160627410424
9441768574206213
10102201001120020
112a623223837480
12b5672a45a6470
13450468923939a
141b347aa702bac
15bc3738a74980
hex5cf3865e1114

102201001120020 has 96 divisors (see below), whose sum is σ = 320614836022656. Its totient is φ = 24106378636800.

The previous prime is 102201001120013. The next prime is 102201001120027. The reversal of 102201001120020 is 20021100102201.

It is an interprime number because it is at equal distance from previous prime (102201001120013) and next prime (102201001120027).

It is a super-3 number, since 3×1022010011200203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102201001119978 and 102201001120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201001120027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2092543171 + ... + 2092592010.

It is an arithmetic number, because the mean of its divisors is an integer number (3339737875236).

Almost surely, 2102201001120020 is an apocalyptic number.

102201001120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201001120020 is an abundant number, since it is smaller than the sum of its proper divisors (218413834902636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102201001120020 is a wasteful number, since it uses less digits than its factorization.

102201001120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185135241 (or 4185135239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102201001120020 its reverse (20021100102201), we get a palindrome (122222101222221).

The spelling of 102201001120020 in words is "one hundred two trillion, two hundred one billion, one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 24420 4185135181 8370270362 12555405543 16740540724 20925675905 25110811086 41851351810 46036486991 50221622172 62777027715 83702703620 92072973982 125554055430 138109460973 154850001697 184145947964 230182434955 251108110860 276218921946 309700003394 460364869910 464550005091 552437843892 619400006788 690547304865 774250008485 920729739820 929100010182 1381094609730 1548500016970 1703350018667 1858200020364 2322750025455 2762189219460 3097000033940 3406700037334 4645500050910 5110050056001 6813400074668 8516750093335 9291000101820 10220100112002 17033500186670 20440200224004 25550250280005 34067000373340 51100500560010 102201001120020