100120012000112 has 40 divisors (see below), whose sum is σ = 208914793337040. Its totient is φ = 46206905425920.

The previous prime is 100120012000109. The next prime is 100120012000157. The reversal of 100120012000112 is 211000210021001.

It is a junction number, because it is equal to n+sod(n) for n = 100120012000093 and 100120012000102.

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, 8003162 + ... + 16257017.

It is an arithmetic number, because the mean of its divisors is an integer number (5222869833426).

Almost surely, 2^{100120012000112} is an apocalyptic number.

It is an amenable number.

100120012000112 is an abundant number, since it is smaller than the sum of its proper divisors (108794781336928).

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

100120012000112 is a wasteful number, since it uses less digits than its factorization.

100120012000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24280041 (or 24280035 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100120012000112 its reverse (211000210021001), we get a palindrome (311120222021113).

The spelling of 100120012000112 in words is "one hundred trillion, one hundred twenty billion, twelve million, one hundred twelve", and thus it is an aban number.