202201221000113 has 2 divisors, whose sum is σ = 202201221000114. Its totient is φ = 202201221000112.

The previous prime is 202201221000067. The next prime is 202201221000143. The reversal of 202201221000113 is 311000122102202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178305626790769 + 23895594209344 = 13353113^2 + 4888312^2 .

It is a cyclic number.

It is not a de Polignac number, because 202201221000113 - 2¹² = 202201220996017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202201221000091 and 202201221000100.

It is not a weakly prime, because it can be changed into another prime (202201221000143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101100610500056 + 101100610500057.

It is an arithmetic number, because the mean of its divisors is an integer number (101100610500057).

Almost surely, 2^{202201221000113} is an apocalyptic number.

It is an amenable number.

202201221000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

202201221000113 is an equidigital number, since it uses as much as digits as its factorization.

202201221000113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 202201221000113 its reverse (311000122102202), we get a palindrome (513201343102315).

The spelling of 202201221000113 in words is "two hundred two trillion, two hundred one billion, two hundred twenty-one million, one hundred thirteen", and thus it is an aban number.