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102102021122100 = 22352418300977327
BaseRepresentation
bin10111001101110001111010…
…101100110010100000110100
3111101111212011101220100210120
4113031301322230302200310
5101340314414401401400
61001053004310251540
730335425156652136
oct2715617254624064
9441455141810716
10102102021122100
112a595251146aaa
12b550080356bb0
1344c8243b4b18c
141b2da9ad19056
15bc0d9416cca0
hex5cdc7ab32834

102102021122100 has 72 divisors (see below), whose sum is σ = 302620429469568. Its totient is φ = 26563127443200.

The previous prime is 102102021122093. The next prime is 102102021122137. The reversal of 102102021122100 is 1221120201201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102102021122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4150476364 + ... + 4150500963.

Almost surely, 2102102021122100 is an apocalyptic number.

102102021122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102021122100 is an abundant number, since it is smaller than the sum of its proper divisors (200518408347468).

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

102102021122100 is a wasteful number, since it uses less digits than its factorization.

102102021122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8300977385 (or 8300977378 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102102021122100 its reverse (1221120201201), we get a palindrome (103323141323301).

The spelling of 102102021122100 in words is "one hundred two trillion, one hundred two billion, twenty-one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 8300977327 16601954654 24902931981 33203909308 41504886635 49805863962 83009773270 99611727924 124514659905 166019546540 207524433175 249029319810 340340070407 415048866350 498058639620 622573299525 680680140814 830097732700 1021020211221 1245146599050 1361360281628 1701700352035 2042040422442 2490293198100 3403400704070 4084080844884 5105101056105 6806801408140 8508501760175 10210202112210 17017003520350 20420404224420 25525505280525 34034007040700 51051010561050 102102021122100