100100099475713 has 2 divisors, whose sum is σ = 100100099475714. Its totient is φ = 100100099475712.

The previous prime is 100100099475671. The next prime is 100100099475721. The reversal of 100100099475713 is 317574990001001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96937079909569 + 3163019566144 = 9845663^2 + 1778488^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100099475713 - 2¹⁴ = 100100099459329 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100099475613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050049737856 + 50050049737857.

It is an arithmetic number, because the mean of its divisors is an integer number (50050049737857).

Almost surely, 2^{100100099475713} is an apocalyptic number.

It is an amenable number.

100100099475713 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100099475713 is an equidigital number, since it uses as much as digits as its factorization.

100100099475713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 238140, while the sum is 47.

The spelling of 100100099475713 in words is "one hundred trillion, one hundred billion, ninety-nine million, four hundred seventy-five thousand, seven hundred thirteen".