100000100110957 has 2 divisors, whose sum is σ = 100000100110958. Its totient is φ = 100000100110956.

The previous prime is 100000100110951. The next prime is 100000100111113. The reversal of 100000100110957 is 759011001000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71112689271556 + 28887410839401 = 8432834^2 + 5374701^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000100110957 - 2¹⁹ = 100000099586669 is a prime.

It is a super-2 number, since 2×100000100110957² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100000100110951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000050055478 + 50000050055479.

It is an arithmetic number, because the mean of its divisors is an integer number (50000050055479).

Almost surely, 2^{100000100110957} is an apocalyptic number.

It is an amenable number.

100000100110957 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000100110957 is an equidigital number, since it uses as much as digits as its factorization.

100000100110957 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 25.

Adding to 100000100110957 its reverse (759011001000001), we get a palindrome (859011101110958).

The spelling of 100000100110957 in words is "one hundred trillion, one hundred million, one hundred ten thousand, nine hundred fifty-seven".