100031221131 has 32 divisors (see below), whose sum is σ = 135638400000. Its totient is φ = 65563699968.

The previous prime is 100031221067. The next prime is 100031221133. The reversal of 100031221131 is 131122130001.

It is a happy number.

It is not a de Polignac number, because 100031221131 - 2⁶ = 100031221067 is a prime.

It is a super-2 number, since 2×100031221131² (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 100031221131.

It is not an unprimeable number, because it can be changed into a prime (100031221133) 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, 83847871 + ... + 83849063.

It is an arithmetic number, because the mean of its divisors is an integer number (4238700000).

Almost surely, 2^100031221131 is an apocalyptic number.

100031221131 is a deficient number, since it is larger than the sum of its proper divisors (35607178869).

100031221131 is a wasteful number, since it uses less digits than its factorization.

100031221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483.

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

Adding to 100031221131 its reverse (131122130001), we get a palindrome (231153351132).

The spelling of 100031221131 in words is "one hundred billion, thirty-one million, two hundred twenty-one thousand, one hundred thirty-one".