100201131131 has 4 divisors (see below), whose sum is σ = 100207360512. Its totient is φ = 100194901752.

The previous prime is 100201131103. The next prime is 100201131169. The reversal of 100201131131 is 131131102001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100201131131 - 2²⁶ = 100134022267 is a prime.

It is a super-2 number, since 2×100201131131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201131031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3090500 + ... + 3122753.

It is an arithmetic number, because the mean of its divisors is an integer number (25051840128).

Almost surely, 2^100201131131 is an apocalyptic number.

100201131131 is a deficient number, since it is larger than the sum of its proper divisors (6229381).

100201131131 is an equidigital number, since it uses as much as digits as its factorization.

100201131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229380.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100201131131 its reverse (131131102001), we get a palindrome (231332233132).

The spelling of 100201131131 in words is "one hundred billion, two hundred one million, one hundred thirty-one thousand, one hundred thirty-one".