112200102011000 has 128 divisors (see below), whose sum is σ = 268155082690560. Its totient is φ = 43921753488000.

The previous prime is 112200102010991. The next prime is 112200102011003. The reversal of 112200102011000 is 110201002211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112200102011003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 658431809 + ... + 658602191.

It is an arithmetic number, because the mean of its divisors is an integer number (2094961583520).

Almost surely, 2^{112200102011000} is an apocalyptic number.

112200102011000 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 112200102011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134077541345280).

112200102011000 is an abundant number, since it is smaller than the sum of its proper divisors (155954980679560).

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

112200102011000 is a wasteful number, since it uses less digits than its factorization.

112200102011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184462 (or 184448 counting only the distinct ones).

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

Adding to 112200102011000 its reverse (110201002211), we get a palindrome (112310303013211).

The spelling of 112200102011000 in words is "one hundred twelve trillion, two hundred billion, one hundred two million, eleven thousand".