101000101009957 has 2 divisors, whose sum is σ = 101000101009958. Its totient is φ = 101000101009956.

The previous prime is 101000101009931. The next prime is 101000101010023. The reversal of 101000101009957 is 759900101000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82389496381956 + 18610604628001 = 9076866^2 + 4314001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000101009957 is a prime.

It is a super-2 number, since 2×101000101009957² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000101009657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050504978 + 50500050504979.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050504979).

Almost surely, 2^{101000101009957} is an apocalyptic number.

It is an amenable number.

101000101009957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000101009957 is an equidigital number, since it uses as much as digits as its factorization.

101000101009957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2835, while the sum is 34.

The spelling of 101000101009957 in words is "one hundred one trillion, one hundred one million, nine thousand, nine hundred fifty-seven".