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102201021012020 = 22573134471683143
BaseRepresentation
bin10111001111001110000111…
…100011011001100000110100
3111101212022200212122211221012
4113033032013203121200310
5101343430142334341040
61001210300105411352
730345531401100620
oct2717160743314064
9441768625584835
10102201021012020
112a623233a93647
12b5672ab199b58
1345046903b25b8
141b347ad200180
15bc373a6a3865
hex5cf3878d9834

102201021012020 has 96 divisors (see below), whose sum is σ = 253202503335936. Its totient is φ = 33908982825600.

The previous prime is 102201021012019. The next prime is 102201021012047. The reversal of 102201021012020 is 20210120102201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102201021011986 and 102201021012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149262569 + ... + 149945711.

It is an arithmetic number, because the mean of its divisors is an integer number (2637526076416).

Almost surely, 2102201021012020 is an apocalyptic number.

102201021012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201021012020 is an abundant number, since it is smaller than the sum of its proper divisors (151001482323916).

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

102201021012020 is a wasteful number, since it uses less digits than its factorization.

102201021012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717661 (or 717659 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102201021012020 its reverse (20210120102201), we get a palindrome (122411141114221).

The spelling of 102201021012020 in words is "one hundred two trillion, two hundred one billion, twenty-one million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 34471 68942 137884 172355 241297 344710 482594 683143 689420 965188 1068601 1206485 1366286 2137202 2412970 2732572 3415715 4274404 4782001 4825940 5343005 6831430 7480207 9564002 10686010 13662860 14960414 19128004 21177433 21372020 23910005 29920828 37401035 42354866 47820010 74802070 84709732 95640020 105887165 148242031 149604140 211774330 296484062 423548660 592968124 741210155 1482420310 2964840620 23548622353 47097244706 94194489412 117743111765 164840356471 235486223530 329680712942 470972447060 659361425884 730007292943 824201782355 1460014585886 1648403564710 2920029171772 3296807129420 3650036464715 5110051050601 7300072929430 10220102101202 14600145858860 20440204202404 25550255253005 51100510506010 102201021012020