100022111122131 has 24 divisors (see below), whose sum is σ = 163448028953664. Its totient is φ = 60619461284520.

The previous prime is 100022111122111. The next prime is 100022111122169. The reversal of 100022111122131 is 131221111220001.

It is a happy number.

It is not a de Polignac number, because 100022111122131 - 2⁹ = 100022111121619 is a prime.

It is a super-2 number, since 2×100022111122131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100022111122111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18709707601 + ... + 18709712946.

It is an arithmetic number, because the mean of its divisors is an integer number (6810334539736).

Almost surely, 2^{100022111122131} is an apocalyptic number.

100022111122131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100022111122131 is a deficient number, since it is larger than the sum of its proper divisors (63425917831533).

100022111122131 is an equidigital number, since it uses as much as digits as its factorization.

100022111122131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37419420573 (or 37419420561 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 100022111122131 its reverse (131221111220001), we get a palindrome (231243222342132).

The spelling of 100022111122131 in words is "one hundred trillion, twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred thirty-one".