100221122137 has 2 divisors, whose sum is σ = 100221122138. Its totient is φ = 100221122136.

The previous prime is 100221122101. The next prime is 100221122161. The reversal of 100221122137 is 731221122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53554753561 + 46666368576 = 231419^2 + 216024^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221122137 - 2³¹ = 98073638489 is a prime.

It is not a weakly prime, because it can be changed into another prime (100221122167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110561068 + 50110561069.

It is an arithmetic number, because the mean of its divisors is an integer number (50110561069).

Almost surely, 2^100221122137 is an apocalyptic number.

It is an amenable number.

100221122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221122137 is an equidigital number, since it uses as much as digits as its factorization.

100221122137 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100221122137 its reverse (731221122001), we get a palindrome (831442244138).

The spelling of 100221122137 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred thirty-seven".