100113201000 has 96 divisors (see below), whose sum is σ = 338382649800. Its totient is φ = 26696851200.

The previous prime is 100113200989. The next prime is 100113201047. The reversal of 100113201000 is 102311001.

It can be written as a sum of positive squares in 4 ways, for example, as 10217570724 + 89895630276 = 101082^2 + 299826^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5552845 + ... + 5570844.

Almost surely, 2^100113201000 is an apocalyptic number.

100113201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100113201000 is an abundant number, since it is smaller than the sum of its proper divisors (238269448800).

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

100113201000 is a wasteful number, since it uses less digits than its factorization.

100113201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123716 (or 11123699 counting only the distinct ones).

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

Adding to 100113201000 its reverse (102311001), we get a palindrome (100215512001).

The spelling of 100113201000 in words is "one hundred billion, one hundred thirteen million, two hundred one thousand".