100131132021 has 32 divisors (see below), whose sum is σ = 135032832000. Its totient is φ = 65997461568.

The previous prime is 100131132019. The next prime is 100131132037. The reversal of 100131132021 is 120231131001.

It is a happy number.

It is not a de Polignac number, because 100131132021 - 2¹ = 100131132019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131132041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 90289015 + ... + 90290123.

It is an arithmetic number, because the mean of its divisors is an integer number (4219776000).

Almost surely, 2^100131132021 is an apocalyptic number.

It is an amenable number.

100131132021 is a deficient number, since it is larger than the sum of its proper divisors (34901699979).

100131132021 is a wasteful number, since it uses less digits than its factorization.

100131132021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113.

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

Adding to 100131132021 its reverse (120231131001), we get a palindrome (220362263022).

The spelling of 100131132021 in words is "one hundred billion, one hundred thirty-one million, one hundred thirty-two thousand, twenty-one".