100112121220120 has 64 divisors (see below), whose sum is σ = 225332799048000. Its totient is φ = 40030535221248.

The previous prime is 100112121220081. The next prime is 100112121220127. The reversal of 100112121220120 is 21022121211001.

It is a junction number, because it is equal to n+sod(n) for n = 100112121220094 and 100112121220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112121220127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1523071416 + ... + 1523137144.

It is an arithmetic number, because the mean of its divisors is an integer number (3520824985125).

Almost surely, 2^{100112121220120} is an apocalyptic number.

100112121220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112121220120 is an abundant number, since it is smaller than the sum of its proper divisors (125220677827880).

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

100112121220120 is a wasteful number, since it uses less digits than its factorization.

100112121220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78772 (or 78768 counting only the distinct ones).

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

Adding to 100112121220120 its reverse (21022121211001), we get a palindrome (121134242431121).

The spelling of 100112121220120 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty".