100122000110112 has 48 divisors (see below), whose sum is σ = 269923500306432. Its totient is φ = 32472000034560.

The previous prime is 100122000110053. The next prime is 100122000110141. The reversal of 100122000110112 is 211011000221001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14093746464 + ... + 14093753567.

It is an arithmetic number, because the mean of its divisors is an integer number (5623406256384).

Almost surely, 2^{100122000110112} is an apocalyptic number.

100122000110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122000110112 is an abundant number, since it is smaller than the sum of its proper divisors (169801500196320).

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

100122000110112 is a wasteful number, since it uses less digits than its factorization.

100122000110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28187500081 (or 28187500073 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100122000110112 its reverse (211011000221001), we get a palindrome (311133000331113).

The spelling of 100122000110112 in words is "one hundred trillion, one hundred twenty-two billion, one hundred ten thousand, one hundred twelve".