10101100010957 has 2 divisors, whose sum is σ = 10101100010958. Its totient is φ = 10101100010956.

The previous prime is 10101100010951. The next prime is 10101100011001. The reversal of 10101100010957 is 75901000110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8550542105161 + 1550557905796 = 2924131^2 + 1245214^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101100010957 - 2⁴ = 10101100010941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101100010951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550005478 + 5050550005479.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550005479).

Almost surely, 2^{10101100010957} is an apocalyptic number.

It is an amenable number.

10101100010957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101100010957 is an equidigital number, since it uses as much as digits as its factorization.

10101100010957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 26.

The spelling of 10101100010957 in words is "ten trillion, one hundred one billion, one hundred million, ten thousand, nine hundred fifty-seven".