100122120 has 192 divisors, whose sum is σ = 378069120. Its totient is φ = 22505472.

The previous prime is 100122089. The next prime is 100122179. The reversal of 100122120 is 21221001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168544 + ... + 169136.

It is an arithmetic number, because the mean of its divisors is an integer number (1969110).

Almost surely, 2^100122120 is an apocalyptic number.

100122120 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 100122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189034560).

100122120 is an abundant number, since it is smaller than the sum of its proper divisors (277947000).

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

100122120 is a wasteful number, since it uses less digits than its factorization.

100122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100122120 is about 10006.1041369756. The cubic root of 100122120 is about 464.3477501102.

Adding to 100122120 its reverse (21221001), we get a palindrome (121343121).

The spelling of 100122120 in words is "one hundred million, one hundred twenty-two thousand, one hundred twenty".