112002221122110 has 256 divisors, whose sum is σ = 328497323212800. Its totient is φ = 26929469952000.

The previous prime is 112002221122067. The next prime is 112002221122189. The reversal of 112002221122110 is 11221122200211.

112002221122110 is a `hidden beast` number, since 1 + 1 + 200 + 22 + 211 + 221 + 10 = 666.

It is a super-4 number, since 4×112002221122110⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1195268260 + ... + 1195361960.

It is an arithmetic number, because the mean of its divisors is an integer number (1283192668800).

Almost surely, 2^{112002221122110} is an apocalyptic number.

112002221122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112002221122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164248661606400).

112002221122110 is an abundant number, since it is smaller than the sum of its proper divisors (216495102090690).

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

112002221122110 is a wasteful number, since it uses less digits than its factorization.

112002221122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97024 (or 97018 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112002221122110 its reverse (11221122200211), we get a palindrome (123223343322321).

The spelling of 112002221122110 in words is "one hundred twelve trillion, two billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred ten".