100031001220 has 24 divisors (see below), whose sum is σ = 210667023000. Its totient is φ = 39897748992.

The previous prime is 100031001157. The next prime is 100031001227. The reversal of 100031001220 is 22100130001.

It can be written as a sum of positive squares in 4 ways, for example, as 449100864 + 99581900356 = 21192^2 + 315566^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100031001197 and 100031001206.

It is not an unprimeable number, because it can be changed into a prime (100031001227) 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 7 ways as a sum of consecutive naturals, for example, 7158565 + ... + 7172524.

It is an arithmetic number, because the mean of its divisors is an integer number (8777792625).

Almost surely, 2^100031001220 is an apocalyptic number.

100031001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100031001220 is an abundant number, since it is smaller than the sum of its proper divisors (110636021780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100031001220 is a wasteful number, since it uses less digits than its factorization.

100031001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14331447 (or 14331445 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100031001220 its reverse (22100130001), we get a palindrome (122131131221).

The spelling of 100031001220 in words is "one hundred billion, thirty-one million, one thousand, two hundred twenty".