101122121249 has 2 divisors, whose sum is σ = 101122121250. Its totient is φ = 101122121248.

The previous prime is 101122121209. The next prime is 101122121257. The reversal of 101122121249 is 942121221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74158182400 + 26963938849 = 272320^2 + 164207^2 .

It is an emirp because it is prime and its reverse (942121221101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101122121249 - 2²⁰ = 101121072673 is a prime.

It is not a weakly prime, because it can be changed into another prime (101122121209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561060624 + 50561060625.

It is an arithmetic number, because the mean of its divisors is an integer number (50561060625).

Almost surely, 2^101122121249 is an apocalyptic number.

It is an amenable number.

101122121249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122121249 is an equidigital number, since it uses as much as digits as its factorization.

101122121249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 101122121249 in words is "one hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred forty-nine".