100113021000 has 384 divisors, whose sum is σ = 350333998560. Its totient is φ = 25767936000.

The previous prime is 100113020999. The next prime is 100113021037. The reversal of 100113021000 is 120311001.

It can be written as a sum of positive squares in 16 ways, for example, as 14868875844 + 85244145156 = 121938^2 + 291966^2 .

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

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 95 ways as a sum of consecutive naturals, for example, 35791602 + ... + 35794398.

Almost surely, 2^100113021000 is an apocalyptic number.

100113021000 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 100113021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175166999280).

100113021000 is an abundant number, since it is smaller than the sum of its proper divisors (250220977560).

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

100113021000 is a wasteful number, since it uses less digits than its factorization.

100113021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2945 counting only the distinct ones).

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

Adding to 100113021000 its reverse (120311001), we get a palindrome (100233332001).

The spelling of 100113021000 in words is "one hundred billion, one hundred thirteen million, twenty-one thousand".