112111222211010 has 384 divisors, whose sum is σ = 328775929447680. Its totient is φ = 26266506854400.

The previous prime is 112111222210969. The next prime is 112111222211041. The reversal of 112111222211010 is 10112222111211.

It is a happy number.

112111222211010 is a `hidden beast` number, since 11 + 211 + 1 + 222 + 211 + 0 + 10 = 666.

It is a super-2 number, since 2×112111222211010² (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12902656746 + ... + 12902665434.

It is an arithmetic number, because the mean of its divisors is an integer number (856187316270).

Almost surely, 2^{112111222211010} is an apocalyptic number.

112111222211010 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 112111222211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164387964723840).

112111222211010 is an abundant number, since it is smaller than the sum of its proper divisors (216664707236670).

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

112111222211010 is a wasteful number, since it uses less digits than its factorization.

112111222211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11074 (or 11071 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112111222211010 its reverse (10112222111211), we get a palindrome (122223444322221).

It can be divided in two parts, 11211 and 1222211010, that added together give a palindrome (1222222221).

The spelling of 112111222211010 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, ten".