112101000012 has 36 divisors (see below), whose sum is σ = 290277796536. Its totient is φ = 36455609280.

The previous prime is 112100999981. The next prime is 112101000031. The reversal of 112101000012 is 210000101211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112100999958 and 112101000003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37973118 + ... + 37976069.

It is an arithmetic number, because the mean of its divisors is an integer number (8063272126).

Almost surely, 2^112101000012 is an apocalyptic number.

112101000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112101000012 is an abundant number, since it is smaller than the sum of its proper divisors (178176796524).

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

112101000012 is a wasteful number, since it uses less digits than its factorization.

112101000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75949238 (or 75949233 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112101000012 its reverse (210000101211), we get a palindrome (322101101223).

The spelling of 112101000012 in words is "one hundred twelve billion, one hundred one million, twelve", and thus it is an aban number.