10102101011957 has 2 divisors, whose sum is σ = 10102101011958. Its totient is φ = 10102101011956.

The previous prime is 10102101011911. The next prime is 10102101012043. The reversal of 10102101011957 is 75911010120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9037322613796 + 1064778398161 = 3006214^2 + 1031881^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102101011957 - 2¹⁰ = 10102101010933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102101010957) 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, 5051050505978 + 5051050505979.

It is an arithmetic number, because the mean of its divisors is an integer number (5051050505979).

Almost surely, 2^{10102101011957} is an apocalyptic number.

It is an amenable number.

10102101011957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102101011957 is an equidigital number, since it uses as much as digits as its factorization.

10102101011957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 29.

The spelling of 10102101011957 in words is "ten trillion, one hundred two billion, one hundred one million, eleven thousand, nine hundred fifty-seven".