10102131000 has 512 divisors, whose sum is σ = 39956716800. Its totient is φ = 2339020800.

The previous prime is 10102130993. The next prime is 10102131029. The reversal of 10102131000 is 13120101.

It is a super-2 number, since 2×10102131000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5966154 + ... + 5967846.

Almost surely, 2^10102131000 is an apocalyptic number.

10102131000 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 10102131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19978358400).

10102131000 is an abundant number, since it is smaller than the sum of its proper divisors (29854585800).

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

10102131000 is a wasteful number, since it uses less digits than its factorization.

10102131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10102131000 its reverse (13120101), we get a palindrome (10115251101).

The spelling of 10102131000 in words is "ten billion, one hundred two million, one hundred thirty-one thousand".