101011000099957 has 2 divisors, whose sum is σ = 101011000099958. Its totient is φ = 101011000099956.

The previous prime is 101011000099937. The next prime is 101011000099979. The reversal of 101011000099957 is 759990000110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70184952501316 + 30826047598641 = 8377646^2 + 5552121^2 .

It is an emirp because it is prime and its reverse (759990000110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101011000099957 - 2²³ = 101010991711349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011000099937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500049978 + 50505500049979.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500049979).

Almost surely, 2^{101011000099957} is an apocalyptic number.

It is an amenable number.

101011000099957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011000099957 is an equidigital number, since it uses as much as digits as its factorization.

101011000099957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25515, while the sum is 43.

The spelling of 101011000099957 in words is "one hundred one trillion, eleven billion, ninety-nine thousand, nine hundred fifty-seven".