101121310957 has 2 divisors, whose sum is σ = 101121310958. Its totient is φ = 101121310956.

The previous prime is 101121310937. The next prime is 101121310973. The reversal of 101121310957 is 759013121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66591866916 + 34529444041 = 258054^2 + 185821^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121310957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121310937) 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, 50560655478 + 50560655479.

It is an arithmetic number, because the mean of its divisors is an integer number (50560655479).

Almost surely, 2^101121310957 is an apocalyptic number.

It is an amenable number.

101121310957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121310957 is an equidigital number, since it uses as much as digits as its factorization.

101121310957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 31.

The spelling of 101121310957 in words is "one hundred one billion, one hundred twenty-one million, three hundred ten thousand, nine hundred fifty-seven".