101202022212089 has 2 divisors, whose sum is σ = 101202022212090. Its totient is φ = 101202022212088.

The previous prime is 101202022212037. The next prime is 101202022212107. The reversal of 101202022212089 is 980212220202101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98647404979600 + 2554617232489 = 9932140^2 + 1598317^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101202022212089 is a prime.

It is not a weakly prime, because it can be changed into another prime (101202022212029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50601011106044 + 50601011106045.

It is an arithmetic number, because the mean of its divisors is an integer number (50601011106045).

Almost surely, 2^{101202022212089} is an apocalyptic number.

It is an amenable number.

101202022212089 is a deficient number, since it is larger than the sum of its proper divisors (1).

101202022212089 is an equidigital number, since it uses as much as digits as its factorization.

101202022212089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 101202022212089 in words is "one hundred one trillion, two hundred two billion, twenty-two million, two hundred twelve thousand, eighty-nine".