10102110102000 has 320 divisors, whose sum is σ = 41357719603200. Its totient is φ = 2309053651200.

The previous prime is 10102110101987. The next prime is 10102110102013. The reversal of 10102110102000 is 20101120101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10102110101987) and next prime (10102110102013).

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 63 ways as a sum of consecutive naturals, for example, 12984580 + ... + 13740579.

It is an arithmetic number, because the mean of its divisors is an integer number (129242873760).

Almost surely, 2^{10102110102000} is an apocalyptic number.

10102110102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102110102000 is an abundant number, since it is smaller than the sum of its proper divisors (31255609501200).

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

10102110102000 is a wasteful number, since it uses less digits than its factorization.

10102110102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26725198 (or 26725176 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10102110102000 its reverse (20101120101), we get a palindrome (10122211222101).

The spelling of 10102110102000 in words is "ten trillion, one hundred two billion, one hundred ten million, one hundred two thousand".