10010011010957 has 2 divisors, whose sum is σ = 10010011010958. Its totient is φ = 10010011010956.

The previous prime is 10010011010903. The next prime is 10010011011229. The reversal of 10010011010957 is 75901011001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5096988037801 + 4913022973156 = 2257651^2 + 2216534^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010011010957 - 2¹² = 10010011006861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010011010557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005005505478 + 5005005505479.

It is an arithmetic number, because the mean of its divisors is an integer number (5005005505479).

Almost surely, 2^{10010011010957} is an apocalyptic number.

It is an amenable number.

10010011010957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010011010957 is an equidigital number, since it uses as much as digits as its factorization.

10010011010957 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.

Adding to 10010011010957 its reverse (75901011001001), we get a palindrome (85911022011958).

The spelling of 10010011010957 in words is "ten trillion, ten billion, eleven million, ten thousand, nine hundred fifty-seven".