101112102112120 has 32 divisors (see below), whose sum is σ = 248184250639920. Its totient is φ = 36768037131520.

The previous prime is 101112102112081. The next prime is 101112102112157. The reversal of 101112102112120 is 21211201211101.

It is a junction number, because it is equal to n+sod(n) for n = 101112102112094 and 101112102112103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114900115597 + ... + 114900116476.

Almost surely, 2^{101112102112120} is an apocalyptic number.

101112102112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112102112120 is an abundant number, since it is smaller than the sum of its proper divisors (147072148527800).

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

101112102112120 is a wasteful number, since it uses less digits than its factorization.

101112102112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229800232095 (or 229800232091 counting only the distinct ones).

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

Adding to 101112102112120 its reverse (21211201211101), we get a palindrome (122323303323221).

The spelling of 101112102112120 in words is "one hundred one trillion, one hundred twelve billion, one hundred two million, one hundred twelve thousand, one hundred twenty".