102255104000000 has 896 divisors, whose sum is σ = 296050573004160. Its totient is φ = 34593177600000.

The previous prime is 102255103999991. The next prime is 102255104000039. The reversal of 102255104000000 is 401552201.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×102255104000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 369151999862 + ... + 369152000138.

Almost surely, 2^{102255104000000} is an apocalyptic number.

102255104000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102255104000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148025286502080).

102255104000000 is an abundant number, since it is smaller than the sum of its proper divisors (193795469004160).

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

102255104000000 is an frugal number, since it uses more digits than its factorization.

102255104000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 102255104000000 its reverse (401552201), we get a palindrome (102255505552201).

The spelling of 102255104000000 in words is "one hundred two trillion, two hundred fifty-five billion, one hundred four million", and thus it is an aban number.