100444114240120 has 32 divisors (see below), whose sum is σ = 258284865189600. Its totient is φ = 34437982025088.

The previous prime is 100444114240031. The next prime is 100444114240153. The reversal of 100444114240120 is 21042411444001.

It is a super-2 number, since 2×100444114240120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 179364489435 + ... + 179364489994.

It is an arithmetic number, because the mean of its divisors is an integer number (8071402037175).

Almost surely, 2^{100444114240120} is an apocalyptic number.

100444114240120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100444114240120 is an abundant number, since it is smaller than the sum of its proper divisors (157840750949480).

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

100444114240120 is a wasteful number, since it uses less digits than its factorization.

100444114240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358728979447 (or 358728979443 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 100444114240120 its reverse (21042411444001), we get a palindrome (121486525684121).

The spelling of 100444114240120 in words is "one hundred trillion, four hundred forty-four billion, one hundred fourteen million, two hundred forty thousand, one hundred twenty".