112210022100100 has 144 divisors (see below), whose sum is σ = 266763595568400. Its totient is φ = 40778793861120.

The previous prime is 112210022100073. The next prime is 112210022100157. The reversal of 112210022100100 is 1001220012211.

It can be written as a sum of positive squares in 24 ways, for example, as 92308591045696 + 19901431054404 = 9607736^2 + 4461102^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244742674 + ... + 245200726.

It is an arithmetic number, because the mean of its divisors is an integer number (1852524969225).

Almost surely, 2^{112210022100100} is an apocalyptic number.

112210022100100 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 112210022100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133381797784200).

112210022100100 is an abundant number, since it is smaller than the sum of its proper divisors (154553573468300).

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

112210022100100 is a wasteful number, since it uses less digits than its factorization.

112210022100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463082 (or 463075 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112210022100100 its reverse (1001220012211), we get a palindrome (113211242112311).

The spelling of 112210022100100 in words is "one hundred twelve trillion, two hundred ten billion, twenty-two million, one hundred thousand, one hundred".