101010007913999 has 2 divisors, whose sum is σ = 101010007914000. Its totient is φ = 101010007913998.

The previous prime is 101010007913989. The next prime is 101010007914037. The reversal of 101010007913999 is 999319700010101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101010007913999 - 2²⁰ = 101010006865423 is a prime.

It is a super-2 number, since 2×101010007913999² (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 (101010007913929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505003956999 + 50505003957000.

It is an arithmetic number, because the mean of its divisors is an integer number (50505003957000).

Almost surely, 2^{101010007913999} is an apocalyptic number.

101010007913999 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010007913999 is an equidigital number, since it uses as much as digits as its factorization.

101010007913999 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 137781, while the sum is 50.

The spelling of 101010007913999 in words is "one hundred one trillion, ten billion, seven million, nine hundred thirteen thousand, nine hundred ninety-nine".