112211020213110 has 2304 divisors, whose sum is σ = 412456629312000. Its totient is φ = 20499456983040.

The previous prime is 112211020213067. The next prime is 112211020213157. The reversal of 112211020213110 is 11312020112211.

It is a happy number.

112211020213110 is a `hidden beast` number, since 11 + 221 + 102 + 0 + 21 + 311 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 753094095316 + ... + 753094095464.

It is an arithmetic number, because the mean of its divisors is an integer number (179017634250).

Almost surely, 2^{112211020213110} is an apocalyptic number.

112211020213110 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 112211020213110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206228314656000).

112211020213110 is an abundant number, since it is smaller than the sum of its proper divisors (300245609098890).

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

112211020213110 is a wasteful number, since it uses less digits than its factorization.

112211020213110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112211020213110 its reverse (11312020112211), we get a palindrome (123523040325321).

The spelling of 112211020213110 in words is "one hundred twelve trillion, two hundred eleven billion, twenty million, two hundred thirteen thousand, one hundred ten".