221121010112137 has 2 divisors, whose sum is σ = 221121010112138. Its totient is φ = 221121010112136.

The previous prime is 221121010112129. The next prime is 221121010112203. The reversal of 221121010112137 is 731211010121122.

221121010112137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200236621949001 + 20884388163136 = 14150499^2 + 4569944^2 .

It is a cyclic number.

It is not a de Polignac number, because 221121010112137 - 2³ = 221121010112129 is a prime.

It is a super-2 number, since 2×221121010112137² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221121010110137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110560505056068 + 110560505056069.

It is an arithmetic number, because the mean of its divisors is an integer number (110560505056069).

Almost surely, 2^{221121010112137} is an apocalyptic number.

It is an amenable number.

221121010112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

221121010112137 is an equidigital number, since it uses as much as digits as its factorization.

221121010112137 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 221121010112137 its reverse (731211010121122), we get a palindrome (952332020233259).

The spelling of 221121010112137 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, ten million, one hundred twelve thousand, one hundred thirty-seven".