100222112222120 has 128 divisors (see below), whose sum is σ = 259170529478400. Its totient is φ = 34167688396800.

The previous prime is 100222112222117. The next prime is 100222112222201. The reversal of 100222112222120 is 21222211222001.

It is a super-3 number, since 3×100222112222120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100222112222092 and 100222112222101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898144730 + ... + 898256310.

It is an arithmetic number, because the mean of its divisors is an integer number (2024769761550).

Almost surely, 2^{100222112222120} is an apocalyptic number.

100222112222120 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 100222112222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129585264739200).

100222112222120 is an abundant number, since it is smaller than the sum of its proper divisors (158948417256280).

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

100222112222120 is a wasteful number, since it uses less digits than its factorization.

100222112222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129699 (or 129695 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100222112222120 its reverse (21222211222001), we get a palindrome (121444323444121).

The spelling of 100222112222120 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twenty".