22212002012100 has 144 divisors (see below), whose sum is σ = 64484922700800. Its totient is φ = 5903110344320.

The previous prime is 22212002012051. The next prime is 22212002012119. The reversal of 22212002012100 is 121020021222.

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 22212002012100.

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 47 ways as a sum of consecutive naturals, for example, 179474041 + ... + 179597759.

It is an arithmetic number, because the mean of its divisors is an integer number (447811963200).

Almost surely, 2^{22212002012100} is an apocalyptic number.

22212002012100 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 22212002012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32242461350400).

22212002012100 is an abundant number, since it is smaller than the sum of its proper divisors (42272920688700).

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

22212002012100 is a wasteful number, since it uses less digits than its factorization.

22212002012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125762 (or 125755 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22212002012100 its reverse (121020021222), we get a palindrome (22333022033322).

The spelling of 22212002012100 in words is "twenty-two trillion, two hundred twelve billion, two million, twelve thousand, one hundred".