100112011121112 has 64 divisors (see below), whose sum is σ = 253883117664000. Its totient is φ = 32893677697920.

The previous prime is 100112011121047. The next prime is 100112011121131. The reversal of 100112011121112 is 211121110211001.

It is a junction number, because it is equal to n+sod(n) for n = 100112011121091 and 100112011121100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106384708 + ... + 107321619.

It is an arithmetic number, because the mean of its divisors is an integer number (3966923713500).

Almost surely, 2^{100112011121112} is an apocalyptic number.

100112011121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100112011121112 is an abundant number, since it is smaller than the sum of its proper divisors (153771106542888).

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

100112011121112 is a wasteful number, since it uses less digits than its factorization.

100112011121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213706616 (or 213706612 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100112011121112 its reverse (211121110211001), we get a palindrome (311233121332113).

The spelling of 100112011121112 in words is "one hundred trillion, one hundred twelve billion, eleven million, one hundred twenty-one thousand, one hundred twelve".