100201113321 has 32 divisors (see below), whose sum is σ = 136787460480. Its totient is φ = 65231986176.

The previous prime is 100201113301. The next prime is 100201113347. The reversal of 100201113321 is 123311102001.

It is a happy number.

It is not a de Polignac number, because 100201113321 - 2²⁵ = 100167558889 is a prime.

It is a super-2 number, since 2×100201113321² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100201113321.

It is not an unprimeable number, because it can be changed into a prime (100201113301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6885565 + ... + 6900101.

It is an arithmetic number, because the mean of its divisors is an integer number (4274608140).

Almost surely, 2^100201113321 is an apocalyptic number.

It is an amenable number.

100201113321 is a deficient number, since it is larger than the sum of its proper divisors (36586347159).

100201113321 is a wasteful number, since it uses less digits than its factorization.

100201113321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14953.

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

Adding to 100201113321 its reverse (123311102001), we get a palindrome (223512215322).

The spelling of 100201113321 in words is "one hundred billion, two hundred one million, one hundred thirteen thousand, three hundred twenty-one".