101100964957 has 2 divisors, whose sum is σ = 101100964958. Its totient is φ = 101100964956.

The previous prime is 101100964949. The next prime is 101100964973. The reversal of 101100964957 is 759469001101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96758945721 + 4342019236 = 311061^2 + 65894^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100964957 - 2³ = 101100964949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100964057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550482478 + 50550482479.

It is an arithmetic number, because the mean of its divisors is an integer number (50550482479).

Almost surely, 2^101100964957 is an apocalyptic number.

It is an amenable number.

101100964957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100964957 is an equidigital number, since it uses as much as digits as its factorization.

101100964957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68040, while the sum is 43.

The spelling of 101100964957 in words is "one hundred one billion, one hundred million, nine hundred sixty-four thousand, nine hundred fifty-seven".