100111010957 has 2 divisors, whose sum is σ = 100111010958. Its totient is φ = 100111010956.

The previous prime is 100111010941. The next prime is 100111010977. The reversal of 100111010957 is 759010111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80327463241 + 19783547716 = 283421^2 + 140654^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111010957 - 2⁴ = 100111010941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111010977) 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, 50055505478 + 50055505479.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505479).

Almost surely, 2^100111010957 is an apocalyptic number.

It is an amenable number.

100111010957 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111010957 is an equidigital number, since it uses as much as digits as its factorization.

100111010957 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100111010957 its reverse (759010111001), we get a palindrome (859121121958).

The spelling of 100111010957 in words is "one hundred billion, one hundred eleven million, ten thousand, nine hundred fifty-seven".