100102031000 has 128 divisors (see below), whose sum is σ = 237119088960. Its totient is φ = 39550720000.

The previous prime is 100102030981. The next prime is 100102031011. The reversal of 100102031000 is 130201001.

It is a super-2 number, since 2×100102031000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42905834 + ... + 42908166.

Almost surely, 2^100102031000 is an apocalyptic number.

100102031000 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 100102031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118559544480).

100102031000 is an abundant number, since it is smaller than the sum of its proper divisors (137017057960).

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

100102031000 is a wasteful number, since it uses less digits than its factorization.

100102031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100102031000 its reverse (130201001), we get a palindrome (100232232001).

The spelling of 100102031000 in words is "one hundred billion, one hundred two million, thirty-one thousand".