10102110331200 has 168 divisors, whose sum is σ = 33914116360608. Its totient is φ = 2631247288320.

The previous prime is 10102110331139. The next prime is 10102110331207. The reversal of 10102110331200 is 213301120101.

It is a happy number.

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 10102110331200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102110331207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24265767 + ... + 24678566.

Almost surely, 2^{10102110331200} is an apocalyptic number.

10102110331200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102110331200 is an abundant number, since it is smaller than the sum of its proper divisors (23812006029408).

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

10102110331200 is a wasteful number, since it uses less digits than its factorization.

10102110331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48944401 (or 48944386 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10102110331200 its reverse (213301120101), we get a palindrome (10315411451301).

The spelling of 10102110331200 in words is "ten trillion, one hundred two billion, one hundred ten million, three hundred thirty-one thousand, two hundred".