112221110100000 has 1152 divisors, whose sum is σ = 423317785927680. Its totient is φ = 25762880000000.

The previous prime is 112221110099957. The next prime is 112221110100019. The reversal of 112221110100000 is 1011122211.

It is a super-3 number, since 3×112221110100000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 7665892681 + ... + 7665907319.

It is an arithmetic number, because the mean of its divisors is an integer number (367463355840).

Almost surely, 2^{112221110100000} is an apocalyptic number.

112221110100000 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 112221110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211658892963840).

112221110100000 is an abundant number, since it is smaller than the sum of its proper divisors (311096675827680).

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

112221110100000 is a wasteful number, since it uses less digits than its factorization.

112221110100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14812 (or 14784 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112221110100000 its reverse (1011122211), we get a palindrome (112222121222211).

It can be divided in two parts, 1122211 and 10100000, that added together give a palindrome (11222211).

The spelling of 112221110100000 in words is "one hundred twelve trillion, two hundred twenty-one billion, one hundred ten million, one hundred thousand".