100101110996857 has 2 divisors, whose sum is σ = 100101110996858. Its totient is φ = 100101110996856.

The previous prime is 100101110996827. The next prime is 100101110996867. The reversal of 100101110996857 is 758699011101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98744843457936 + 1356267538921 = 9937044^2 + 1164589^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101110996857 - 2¹¹ = 100101110994809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100101110996857.

It is not a weakly prime, because it can be changed into another prime (100101110996827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050555498428 + 50050555498429.

It is an arithmetic number, because the mean of its divisors is an integer number (50050555498429).

Almost surely, 2^{100101110996857} is an apocalyptic number.

It is an amenable number.

100101110996857 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101110996857 is an equidigital number, since it uses as much as digits as its factorization.

100101110996857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 49.

The spelling of 100101110996857 in words is "one hundred trillion, one hundred one billion, one hundred ten million, nine hundred ninety-six thousand, eight hundred fifty-seven".