112211120010 has 128 divisors (see below), whose sum is σ = 302980331520. Its totient is φ = 26364665600.

The previous prime is 112211120009. The next prime is 112211120029. The reversal of 112211120010 is 10021112211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1341784 + ... + 1422956.

It is an arithmetic number, because the mean of its divisors is an integer number (2367033840).

Almost surely, 2^112211120010 is an apocalyptic number.

112211120010 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 112211120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151490165760).

112211120010 is an abundant number, since it is smaller than the sum of its proper divisors (190769211510).

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

112211120010 is a wasteful number, since it uses less digits than its factorization.

112211120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81324.

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

Adding to 112211120010 its reverse (10021112211), we get a palindrome (122232232221).

It can be divided in two parts, 112211 and 120010, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 112211120010 in words is "one hundred twelve billion, two hundred eleven million, one hundred twenty thousand, ten".