220112022111100 has 216 divisors, whose sum is σ = 564910034433360. Its totient is φ = 74206710144000.

The previous prime is 220112022111077. The next prime is 220112022111151. The reversal of 220112022111100 is 1111220211022.

It is a super-4 number, since 4×220112022111100⁴ (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

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, 974002120 + ... + 974228080.

Almost surely, 2^{220112022111100} is an apocalyptic number.

220112022111100 is a gapful number since it is divisible by the number (20) 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 220112022111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282455017216680).

220112022111100 is an abundant number, since it is smaller than the sum of its proper divisors (344798012322260).

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

220112022111100 is a wasteful number, since it uses less digits than its factorization.

220112022111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229309 (or 229295 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 220112022111100 its reverse (1111220211022), we get a palindrome (221223242322122).

The spelling of 220112022111100 in words is "two hundred twenty trillion, one hundred twelve billion, twenty-two million, one hundred eleven thousand, one hundred".