102210000102000 has 240 divisors, whose sum is σ = 407983383767232. Its totient is φ = 23362285708800.

The previous prime is 102210000101987. The next prime is 102210000102013. The reversal of 102210000102000 is 201000012201.

It is an interprime number because it is at equal distance from previous prime (102210000101987) and next prime (102210000102013).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405469239 + ... + 405721238.

Almost surely, 2^{102210000102000} is an apocalyptic number.

102210000102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210000102000 is an abundant number, since it is smaller than the sum of its proper divisors (305773383665232).

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

102210000102000 is a wasteful number, since it uses less digits than its factorization.

102210000102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811190513 (or 811190494 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102210000102000 its reverse (201000012201), we get a palindrome (102411000114201).

The spelling of 102210000102000 in words is "one hundred two trillion, two hundred ten billion, one hundred two thousand".