112110222220100 has 144 divisors (see below), whose sum is σ = 266959738764432. Its totient is φ = 40609937571840.

The previous prime is 112110222220097. The next prime is 112110222220109. The reversal of 112110222220100 is 1022222011211.

It can be written as a sum of positive squares in 24 ways, for example, as 112096553804356 + 13668415744 = 10587566^2 + 116912^2 .

It is not an unprimeable number, because it can be changed into a prime (112110222220109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856568264 + ... + 856699136.

It is an arithmetic number, because the mean of its divisors is an integer number (1853887074753).

Almost surely, 2^{112110222220100} is an apocalyptic number.

112110222220100 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 112110222220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133479869382216).

112110222220100 is an abundant number, since it is smaller than the sum of its proper divisors (154849516544332).

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

112110222220100 is a wasteful number, since it uses less digits than its factorization.

112110222220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143386 (or 143379 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 112110222220100 its reverse (1022222011211), we get a palindrome (113132444231311).

The spelling of 112110222220100 in words is "one hundred twelve trillion, one hundred ten billion, two hundred twenty-two million, two hundred twenty thousand, one hundred".