10100110100957 has 2 divisors, whose sum is σ = 10100110100958. Its totient is φ = 10100110100956.

The previous prime is 10100110100929. The next prime is 10100110100999. The reversal of 10100110100957 is 75900101100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9793181912836 + 306928188121 = 3129406^2 + 554011^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100110100957 - 2¹⁴ = 10100110084573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100110700957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055050478 + 5050055050479.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055050479).

Almost surely, 2^{10100110100957} is an apocalyptic number.

It is an amenable number.

10100110100957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100110100957 is an equidigital number, since it uses as much as digits as its factorization.

10100110100957 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 10100110100957 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred thousand, nine hundred fifty-seven".