112212202220100 has 216 divisors, whose sum is σ = 356104108269000. Its totient is φ = 29551330068480.

The previous prime is 112212202220099. The next prime is 112212202220119. The reversal of 112212202220100 is 1022202212211.

It is a happy number.

112212202220100 is a `hidden beast` number, since 1 + 1 + 221 + 220 + 2 + 220 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 45438168934656 + 66774033285444 = 6740784^2 + 8171538^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65557966 + ... + 67247834.

It is an arithmetic number, because the mean of its divisors is an integer number (1648630130875).

Almost surely, 2^{112212202220100} is an apocalyptic number.

112212202220100 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 112212202220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178052054134500).

112212202220100 is an abundant number, since it is smaller than the sum of its proper divisors (243891906048900).

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

112212202220100 is a wasteful number, since it uses less digits than its factorization.

112212202220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690807 (or 1690797 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112212202220100 its reverse (1022202212211), we get a palindrome (113234404432311).

The spelling of 112212202220100 in words is "one hundred twelve trillion, two hundred twelve billion, two hundred two million, two hundred twenty thousand, one hundred".