112000022022100 has 108 divisors (see below), whose sum is σ = 251740905339924. Its totient is φ = 43249823375360.

The previous prime is 112000022022067. The next prime is 112000022022181. The reversal of 112000022022100 is 1220220000211.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 38508528114576 + 73491493907524 = 6205524^2 + 8572718^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 715865082 + ... + 716021518.

It is an arithmetic number, because the mean of its divisors is an integer number (2330934308703).

Almost surely, 2^{112000022022100} is an apocalyptic number.

112000022022100 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 112000022022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125870452669962).

112000022022100 is an abundant number, since it is smaller than the sum of its proper divisors (139740883317824).

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

112000022022100 is a wasteful number, since it uses less digits than its factorization.

112000022022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165022 (or 164986 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 112000022022100 its reverse (1220220000211), we get a palindrome (113220242022311).

The spelling of 112000022022100 in words is "one hundred twelve trillion, twenty-two million, twenty-two thousand, one hundred".