221122112100 has 432 divisors, whose sum is σ = 709317100800. Its totient is φ = 53008058880.

The previous prime is 221122112087. The next prime is 221122112153. The reversal of 221122112100 is 1211221122.

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 221122112100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 335541571 + ... + 335542229.

Almost surely, 2^221122112100 is an apocalyptic number.

221122112100 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 221122112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354658550400).

221122112100 is an abundant number, since it is smaller than the sum of its proper divisors (488194988700).

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

221122112100 is a wasteful number, since it uses less digits than its factorization.

221122112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221122112100 its reverse (1211221122), we get a palindrome (222333333222).

The spelling of 221122112100 in words is "two hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred".