100121222120 has 16 divisors (see below), whose sum is σ = 225272749860. Its totient is φ = 40048488832.

The previous prime is 100121222093. The next prime is 100121222141. The reversal of 100121222120 is 21222121001.

100121222120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 95220382084 + 4900840036 = 308578^2 + 70006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100121222095 and 100121222104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1251515237 + ... + 1251515316.

Almost surely, 2^100121222120 is an apocalyptic number.

100121222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121222120 is an abundant number, since it is smaller than the sum of its proper divisors (125151527740).

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

100121222120 is a wasteful number, since it uses less digits than its factorization.

100121222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503030564 (or 2503030560 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100121222120 its reverse (21222121001), we get a palindrome (121343343121).

The spelling of 100121222120 in words is "one hundred billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".