112101110212000 has 384 divisors, whose sum is σ = 339035625976320. Its totient is φ = 35473771929600.

The previous prime is 112101110211973. The next prime is 112101110212061. The reversal of 112101110212000 is 212011101211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4254782827 + ... + 4254809173.

It is an arithmetic number, because the mean of its divisors is an integer number (882905275980).

Almost surely, 2^{112101110212000} is an apocalyptic number.

112101110212000 is a gapful number since it is divisible by the number (10) 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 112101110212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169517812988160).

112101110212000 is an abundant number, since it is smaller than the sum of its proper divisors (226934515764320).

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

112101110212000 is a wasteful number, since it uses less digits than its factorization.

112101110212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38081 (or 38063 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112101110212000 its reverse (212011101211), we get a palindrome (112313121313211).

The spelling of 112101110212000 in words is "one hundred twelve trillion, one hundred one billion, one hundred ten million, two hundred twelve thousand".