112022213100 has 288 divisors, whose sum is σ = 380934285312. Its totient is φ = 24883200000.

The previous prime is 112022213081. The next prime is 112022213129. The reversal of 112022213100 is 1312220211.

It is a super-2 number, since 2×112022213100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112022213100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23330700 + ... + 23335500.

Almost surely, 2^112022213100 is an apocalyptic number.

112022213100 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 112022213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190467142656).

112022213100 is an abundant number, since it is smaller than the sum of its proper divisors (268912072212).

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

112022213100 is a wasteful number, since it uses less digits than its factorization.

112022213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 112022213100 its reverse (1312220211), we get a palindrome (113334433311).

The spelling of 112022213100 in words is "one hundred twelve billion, twenty-two million, two hundred thirteen thousand, one hundred".