100120022102112 has 48 divisors (see below), whose sum is σ = 262815594339312. Its totient is φ = 33373272596480.

The previous prime is 100120022102003. The next prime is 100120022102131. The reversal of 100120022102112 is 211201220021001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 100120022102091 and 100120022102100.

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, 72762328 + ... + 74125544.

It is an arithmetic number, because the mean of its divisors is an integer number (5475324882069).

Almost surely, 2^{100120022102112} is an apocalyptic number.

100120022102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100120022102112 is an abundant number, since it is smaller than the sum of its proper divisors (162695572237200).

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

100120022102112 is a wasteful number, since it uses less digits than its factorization.

100120022102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128271 (or 2128263 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100120022102112 its reverse (211201220021001), we get a palindrome (311321242123113).

The spelling of 100120022102112 in words is "one hundred trillion, one hundred twenty billion, twenty-two million, one hundred two thousand, one hundred twelve".