112201222100 has 72 divisors (see below), whose sum is σ = 265780363968. Its totient is φ = 40774412800.

The previous prime is 112201222087. The next prime is 112201222129. The reversal of 112201222100 is 1222102211.

It is a super-2 number, since 2×112201222100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1735964 + ... + 1799436.

It is an arithmetic number, because the mean of its divisors is an integer number (3691393944).

Almost surely, 2^112201222100 is an apocalyptic number.

112201222100 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 112201222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132890181984).

112201222100 is an abundant number, since it is smaller than the sum of its proper divisors (153579141868).

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

112201222100 is a wasteful number, since it uses less digits than its factorization.

112201222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65105 (or 65098 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112201222100 its reverse (1222102211), we get a palindrome (113423324311).

The spelling of 112201222100 in words is "one hundred twelve billion, two hundred one million, two hundred twenty-two thousand, one hundred".