100112221012120 has 32 divisors (see below), whose sum is σ = 225273180701520. Its totient is φ = 40041211351680.

The previous prime is 100112221012079. The next prime is 100112221012123. The reversal of 100112221012120 is 21210122211001.

It is a super-2 number, since 2×100112221012120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100112221012094 and 100112221012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112221012123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114466827 + ... + 115338106.

Almost surely, 2^{100112221012120} is an apocalyptic number.

100112221012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112221012120 is an abundant number, since it is smaller than the sum of its proper divisors (125160959689400).

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

100112221012120 is a wasteful number, since it uses less digits than its factorization.

100112221012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229815835 (or 229815831 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100112221012120 its reverse (21210122211001), we get a palindrome (121322343223121).

The spelling of 100112221012120 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-one million, twelve thousand, one hundred twenty".