100221112211137 has 2 divisors, whose sum is σ = 100221112211138. Its totient is φ = 100221112211136.

The previous prime is 100221112211107. The next prime is 100221112211239. The reversal of 100221112211137 is 731112211122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58517466408241 + 41703645802896 = 7649671^2 + 6457836^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221112211137 - 2²³ = 100221103822529 is a prime.

It is not a weakly prime, because it can be changed into another prime (100221112211107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110556105568 + 50110556105569.

It is an arithmetic number, because the mean of its divisors is an integer number (50110556105569).

Almost surely, 2^{100221112211137} is an apocalyptic number.

It is an amenable number.

100221112211137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221112211137 is an equidigital number, since it uses as much as digits as its factorization.

100221112211137 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 25.

Adding to 100221112211137 its reverse (731112211122001), we get a palindrome (831333323333138).

The spelling of 100221112211137 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, one hundred thirty-seven".