100201131121 has 16 divisors (see below), whose sum is σ = 123335129344. Its totient is φ = 79273162944.

The previous prime is 100201131103. The next prime is 100201131169. The reversal of 100201131121 is 121131102001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100201131121 - 2⁵ = 100201131089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100201131721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1185556 + ... + 1267258.

It is an arithmetic number, because the mean of its divisors is an integer number (7708445584).

Almost surely, 2^100201131121 is an apocalyptic number.

It is an amenable number.

100201131121 is a deficient number, since it is larger than the sum of its proper divisors (23133998223).

100201131121 is a wasteful number, since it uses less digits than its factorization.

100201131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95200.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100201131121 its reverse (121131102001), we get a palindrome (221332233122).

The spelling of 100201131121 in words is "one hundred billion, two hundred one million, one hundred thirty-one thousand, one hundred twenty-one".