100121322120 has 128 divisors (see below), whose sum is σ = 309237350400. Its totient is φ = 25917905664.

The previous prime is 100121322101. The next prime is 100121322143. The reversal of 100121322120 is 21223121001.

100121322120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100121322120.

It is an unprimeable number.

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, 781561 + ... + 900599.

It is an arithmetic number, because the mean of its divisors is an integer number (2415916800).

Almost surely, 2^100121322120 is an apocalyptic number.

100121322120 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 100121322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154618675200).

100121322120 is an abundant number, since it is smaller than the sum of its proper divisors (209116028280).

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

100121322120 is a wasteful number, since it uses less digits than its factorization.

100121322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119259 (or 119255 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100121322120 its reverse (21223121001), we get a palindrome (121344443121).

The spelling of 100121322120 in words is "one hundred billion, one hundred twenty-one million, three hundred twenty-two thousand, one hundred twenty".