100120122122020 has 96 divisors (see below), whose sum is σ = 282296735997696. Its totient is φ = 28805789376000.

The previous prime is 100120122121997. The next prime is 100120122122023. The reversal of 100120122122020 is 20221221021001.

It is a happy number.

It is a super-4 number, since 4×100120122122020⁴ (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100120122121985 and 100120122122003.

It is not an unprimeable number, because it can be changed into a prime (100120122122023) 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, 2500482531 + ... + 2500522570.

It is an arithmetic number, because the mean of its divisors is an integer number (2940590999976).

Almost surely, 2^{100120122122020} is an apocalyptic number.

100120122122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120122122020 is an abundant number, since it is smaller than the sum of its proper divisors (182176613875676).

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

100120122122020 is a wasteful number, since it uses less digits than its factorization.

100120122122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001005141 (or 5001005139 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100120122122020 its reverse (20221221021001), we get a palindrome (120341343143021).

The spelling of 100120122122020 in words is "one hundred trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty-two thousand, twenty".