100220121212112 has 120 divisors (see below), whose sum is σ = 306644598936000. Its totient is φ = 30303278922240.

The previous prime is 100220121212089. The next prime is 100220121212147. The reversal of 100220121212112 is 211212121022001.

100220121212112 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 121 + 212 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68499612 + ... + 69947387.

It is an arithmetic number, because the mean of its divisors is an integer number (2555371657800).

Almost surely, 2^{100220121212112} is an apocalyptic number.

100220121212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100220121212112 is an abundant number, since it is smaller than the sum of its proper divisors (206424477723888).

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

100220121212112 is a wasteful number, since it uses less digits than its factorization.

100220121212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138447481 (or 138447472 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100220121212112 its reverse (211212121022001), we get a palindrome (311432242234113).

The spelling of 100220121212112 in words is "one hundred trillion, two hundred twenty billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twelve".