101122202120977 has 2 divisors, whose sum is σ = 101122202120978. Its totient is φ = 101122202120976.

The previous prime is 101122202120801. The next prime is 101122202121041. The reversal of 101122202120977 is 779021202221101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84958232163841 + 16163969957136 = 9217279^2 + 4020444^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122202120977 - 2³⁵ = 101087842382609 is a prime.

It is not a weakly prime, because it can be changed into another prime (101122202123977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561101060488 + 50561101060489.

It is an arithmetic number, because the mean of its divisors is an integer number (50561101060489).

Almost surely, 2^{101122202120977} is an apocalyptic number.

It is an amenable number.

101122202120977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122202120977 is an equidigital number, since it uses as much as digits as its factorization.

101122202120977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 37.

The spelling of 101122202120977 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred two million, one hundred twenty thousand, nine hundred seventy-seven".