1010112001957 has 2 divisors, whose sum is σ = 1010112001958. Its totient is φ = 1010112001956.

The previous prime is 1010112001907. The next prime is 1010112002017. The reversal of 1010112001957 is 7591002110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 777357859041 + 232754142916 = 881679^2 + 482446^2 .

It is an emirp because it is prime and its reverse (7591002110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010112001957 - 2³⁵ = 975752263589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010112001907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505056000978 + 505056000979.

It is an arithmetic number, because the mean of its divisors is an integer number (505056000979).

Almost surely, 2^{1010112001957} is an apocalyptic number.

It is an amenable number.

1010112001957 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010112001957 is an equidigital number, since it uses as much as digits as its factorization.

1010112001957 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 28.

The spelling of 1010112001957 in words is "one trillion, ten billion, one hundred twelve million, one thousand, nine hundred fifty-seven".