101122101121 has 2 divisors, whose sum is σ = 101122101122. Its totient is φ = 101122101120.

The previous prime is 101122101089. The next prime is 101122101137. The reversal of 101122101121 is 121101221101.

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., 92084937025 + 9037164096 = 303455^2 + 95064^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122101121 - 2⁵ = 101122101089 is a prime.

It is not a weakly prime, because it can be changed into another prime (801122101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561050560 + 50561050561.

It is an arithmetic number, because the mean of its divisors is an integer number (50561050561).

Almost surely, 2^101122101121 is an apocalyptic number.

It is an amenable number.

101122101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122101121 is an equidigital number, since it uses as much as digits as its factorization.

101122101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101122101121 its reverse (121101221101), we get a palindrome (222223322222).

The spelling of 101122101121 in words is "one hundred one billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-one".