100221033431137 has 2 divisors, whose sum is σ = 100221033431138. Its totient is φ = 100221033431136.

The previous prime is 100221033431039. The next prime is 100221033431201. The reversal of 100221033431137 is 731134330122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94151294579281 + 6069738851856 = 9703159^2 + 2463684^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221033431137 - 2¹¹ = 100221033429089 is a prime.

It is a super-2 number, since 2×100221033431137² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100221033431099 and 100221033431108.

It is not a weakly prime, because it can be changed into another prime (100221033531137) 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, 50110516715568 + 50110516715569.

It is an arithmetic number, because the mean of its divisors is an integer number (50110516715569).

Almost surely, 2^{100221033431137} is an apocalyptic number.

It is an amenable number.

100221033431137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221033431137 is an equidigital number, since it uses as much as digits as its factorization.

100221033431137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 31.

Adding to 100221033431137 its reverse (731134330122001), we get a palindrome (831355363553138).

The spelling of 100221033431137 in words is "one hundred trillion, two hundred twenty-one billion, thirty-three million, four hundred thirty-one thousand, one hundred thirty-seven".