100120002122000 has 160 divisors (see below), whose sum is σ = 276699095672064. Its totient is φ = 34323803136000.

The previous prime is 100120002121961. The next prime is 100120002122003. The reversal of 100120002122000 is 221200021001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100120002122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159889520 + ... + 160514480.

Almost surely, 2^{100120002122000} is an apocalyptic number.

100120002122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120002122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138349547836032).

100120002122000 is an abundant number, since it is smaller than the sum of its proper divisors (176579093550064).

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

100120002122000 is a wasteful number, since it uses less digits than its factorization.

100120002122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636434 (or 636418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100120002122000 its reverse (221200021001), we get a palindrome (100341202143001).

The spelling of 100120002122000 in words is "one hundred trillion, one hundred twenty billion, two million, one hundred twenty-two thousand".