100110101099967 has 32 divisors (see below), whose sum is σ = 175343362636800. Its totient is φ = 55233159224544.

The previous prime is 100110101099947. The next prime is 100110101099989. The reversal of 100110101099967 is 769990101011001.

It is not a de Polignac number, because 100110101099967 - 2¹⁵ = 100110101067199 is a prime.

It is a super-2 number, since 2×100110101099967² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110101099947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9132461323 + ... + 9132472284.

It is an arithmetic number, because the mean of its divisors is an integer number (5479480082400).

Almost surely, 2^{100110101099967} is an apocalyptic number.

100110101099967 is a deficient number, since it is larger than the sum of its proper divisors (75233261536833).

100110101099967 is a wasteful number, since it uses less digits than its factorization.

100110101099967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18264933652 (or 18264933646 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 45.

The spelling of 100110101099967 in words is "one hundred trillion, one hundred ten billion, one hundred one million, ninety-nine thousand, nine hundred sixty-seven".