100022110031 has 2 divisors, whose sum is σ = 100022110032. Its totient is φ = 100022110030.

The previous prime is 100022110003. The next prime is 100022110063. The reversal of 100022110031 is 130011220001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100022110031 is a prime.

It is a super-2 number, since 2×100022110031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100022109994 and 100022110021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022112031) 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 as a sum of consecutive naturals, namely, 50011055015 + 50011055016.

It is an arithmetic number, because the mean of its divisors is an integer number (50011055016).

Almost surely, 2^100022110031 is an apocalyptic number.

100022110031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022110031 is an equidigital number, since it uses as much as digits as its factorization.

100022110031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100022110031 its reverse (130011220001), we get a palindrome (230033330032).

The spelling of 100022110031 in words is "one hundred billion, twenty-two million, one hundred ten thousand, thirty-one".