1010100099967 has 16 divisors (see below), whose sum is σ = 1156286124352. Its totient is φ = 864385966080.

The previous prime is 1010100099919. The next prime is 1010100100007. The reversal of 1010100099967 is 7699900010101.

It is a happy number.

It is not a de Polignac number, because 1010100099967 - 2²⁷ = 1009965882239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010100099067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46236967 + ... + 46258807.

It is an arithmetic number, because the mean of its divisors is an integer number (72267882772).

Almost surely, 2^{1010100099967} is an apocalyptic number.

1010100099967 is a deficient number, since it is larger than the sum of its proper divisors (146186024385).

1010100099967 is an equidigital number, since it uses as much as digits as its factorization.

1010100099967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32338.

The product of its (nonzero) digits is 30618, while the sum is 43.

The spelling of 1010100099967 in words is "one trillion, ten billion, one hundred million, ninety-nine thousand, nine hundred sixty-seven".