100012211131 has 16 divisors (see below), whose sum is σ = 122270855616. Its totient is φ = 79850336256.

The previous prime is 100012211119. The next prime is 100012211147. The reversal of 100012211131 is 131112210001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100012211131 - 2⁵ = 100012211099 is a prime.

It is a super-2 number, since 2×100012211131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100012211171) 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, 4320616 + ... + 4343701.

It is an arithmetic number, because the mean of its divisors is an integer number (7641928476).

Almost surely, 2^100012211131 is an apocalyptic number.

100012211131 is a deficient number, since it is larger than the sum of its proper divisors (22258644485).

100012211131 is an equidigital number, since it uses as much as digits as its factorization.

100012211131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8664438.

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

Adding to 100012211131 its reverse (131112210001), we get a palindrome (231124421132).

The spelling of 100012211131 in words is "one hundred billion, twelve million, two hundred eleven thousand, one hundred thirty-one".