100221220022137 has 2 divisors, whose sum is σ = 100221220022138. Its totient is φ = 100221220022136.

The previous prime is 100221220022123. The next prime is 100221220022171. The reversal of 100221220022137 is 731220022122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85431496183056 + 14789723839081 = 9242916^2 + 3845741^2 .

It is an emirp because it is prime and its reverse (731220022122001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100221220022137 - 2¹⁵ = 100221219989369 is a prime.

It is not a weakly prime, because it can be changed into another prime (100221220092137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110610011068 + 50110610011069.

It is an arithmetic number, because the mean of its divisors is an integer number (50110610011069).

Almost surely, 2^{100221220022137} is an apocalyptic number.

It is an amenable number.

100221220022137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221220022137 is an equidigital number, since it uses as much as digits as its factorization.

100221220022137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 100221220022137 its reverse (731220022122001), we get a palindrome (831441242144138).

The spelling of 100221220022137 in words is "one hundred trillion, two hundred twenty-one billion, two hundred twenty million, twenty-two thousand, one hundred thirty-seven".