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100101210020020 = 22511835481993977
BaseRepresentation
bin10110110000101010100001…
…000100001001100010110100
3111010102120201102211020221201
4112300222201010021202310
5101110024234231120040
6552521505552422244
730041034205131016
oct2660524104114264
9433376642736851
10100101210020020
1129993759472220
12b288350847984
1343b1671547861
141aa0cd28501b6
15b88cded73a9a
hex5b0aa11098b4

100101210020020 has 48 divisors (see below), whose sum is σ = 232085697052608. Its totient is φ = 35961880482560.

The previous prime is 100101210019999. The next prime is 100101210020023. The reversal of 100101210020020 is 20020012101001.

It is a super-3 number, since 3×1001012100200203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100101210019979 and 100101210020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101210020023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2740978729 + ... + 2741015248.

It is an arithmetic number, because the mean of its divisors is an integer number (4835118688596).

Almost surely, 2100101210020020 is an apocalyptic number.

100101210020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101210020020 is an abundant number, since it is smaller than the sum of its proper divisors (131984487032588).

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

100101210020020 is a wasteful number, since it uses less digits than its factorization.

100101210020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5481994080 (or 5481994078 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100101210020020 its reverse (20020012101001), we get a palindrome (120121222121021).

The spelling of 100101210020020 in words is "one hundred trillion, one hundred one billion, two hundred ten million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 9130 18260 5481993977 10963987954 21927975908 27409969885 54819939770 60301933747 109639879540 120603867494 241207734988 301509668735 455005500091 603019337470 910011000182 1206038674940 1820022000364 2275027500455 4550055000910 5005060501001 9100110001820 10010121002002 20020242004004 25025302505005 50050605010010 100101210020020