112022200010100 has 144 divisors (see below), whose sum is σ = 333382646520000. Its totient is φ = 29021112529920.

The previous prime is 112022200010081. The next prime is 112022200010153. The reversal of 112022200010100 is 1010002220211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 342225 + ... + 14972024.

It is an arithmetic number, because the mean of its divisors is an integer number (2315157267500).

Almost surely, 2^{112022200010100} is an apocalyptic number.

112022200010100 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 112022200010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166691323260000).

112022200010100 is an abundant number, since it is smaller than the sum of its proper divisors (221360446509900).

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

112022200010100 is a wasteful number, since it uses less digits than its factorization.

112022200010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15314962 (or 15314955 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112022200010100 its reverse (1010002220211), we get a palindrome (113032202230311).

The spelling of 112022200010100 in words is "one hundred twelve trillion, twenty-two billion, two hundred million, ten thousand, one hundred".