101112804912 has 160 divisors (see below), whose sum is σ = 300070587904. Its totient is φ = 28740096000.

The previous prime is 101112804911. The next prime is 101112804931. The reversal of 101112804912 is 219408211101.

It is a self number, because there is not a number n which added to its sum of digits gives 101112804912.

It is not an unprimeable number, because it can be changed into a prime (101112804911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84189912 + ... + 84191112.

Almost surely, 2^101112804912 is an apocalyptic number.

101112804912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112804912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150035293952).

101112804912 is an abundant number, since it is smaller than the sum of its proper divisors (198957782992).

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

101112804912 is a wasteful number, since it uses less digits than its factorization.

101112804912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The spelling of 101112804912 in words is "one hundred one billion, one hundred twelve million, eight hundred four thousand, nine hundred twelve".