101222109999945 has 128 divisors (see below), whose sum is σ = 204629072947200. Its totient is φ = 47023342329600.

The previous prime is 101222109999841. The next prime is 101222109999953. The reversal of 101222109999945 is 549999901222101.

It is not a de Polignac number, because 101222109999945 - 2²² = 101222105805641 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3329667 + ... + 14612696.

It is an arithmetic number, because the mean of its divisors is an integer number (1598664632400).

Almost surely, 2^{101222109999945} is an apocalyptic number.

101222109999945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101222109999945 is an abundant number, since it is smaller than the sum of its proper divisors (103406962947255).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101222109999945 is a wasteful number, since it uses less digits than its factorization.

101222109999945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17942548 (or 17942542 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 63.

The spelling of 101222109999945 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred nine million, nine hundred ninety-nine thousand, nine hundred forty-five".