100120112012112 has 40 divisors (see below), whose sum is σ = 258646060113504. Its totient is φ = 33373056165504.

The previous prime is 100120112012111. The next prime is 100120112012117. The reversal of 100120112012112 is 211210211021001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100120112012091 and 100120112012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120112012111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4653678 + ... + 14896205.

Almost surely, 2^{100120112012112} is an apocalyptic number.

100120112012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100120112012112 is an abundant number, since it is smaller than the sum of its proper divisors (158525948101392).

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

100120112012112 is a wasteful number, since it uses less digits than its factorization.

100120112012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19656587 (or 19656581 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100120112012112 its reverse (211210211021001), we get a palindrome (311330323033113).

The spelling of 100120112012112 in words is "one hundred trillion, one hundred twenty billion, one hundred twelve million, twelve thousand, one hundred twelve".