100212122137 has 2 divisors, whose sum is σ = 100212122138. Its totient is φ = 100212122136.

The previous prime is 100212122083. The next prime is 100212122149. The reversal of 100212122137 is 731221212001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96623992336 + 3588129801 = 310844^2 + 59901^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212122137 - 2³⁵ = 65852383769 is a prime.

It is not a weakly prime, because it can be changed into another prime (100212192137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106061068 + 50106061069.

It is an arithmetic number, because the mean of its divisors is an integer number (50106061069).

Almost surely, 2^100212122137 is an apocalyptic number.

It is an amenable number.

100212122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212122137 is an equidigital number, since it uses as much as digits as its factorization.

100212122137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 100212122137 its reverse (731221212001), we get a palindrome (831433334138).

The spelling of 100212122137 in words is "one hundred billion, two hundred twelve million, one hundred twenty-two thousand, one hundred thirty-seven".