22200012110100 has 864 divisors, whose sum is σ = 77216686565760. Its totient is φ = 4878766080000.

The previous prime is 22200012110033. The next prime is 22200012110131. The reversal of 22200012110100 is 101121000222.

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

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3563973786 + ... + 3563980014.

Almost surely, 2^{22200012110100} is an apocalyptic number.

22200012110100 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 22200012110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38608343282880).

22200012110100 is an abundant number, since it is smaller than the sum of its proper divisors (55016674455660).

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

22200012110100 is a wasteful number, since it uses less digits than its factorization.

22200012110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6429 (or 6405 counting only the distinct ones).

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

Adding to 22200012110100 its reverse (101121000222), we get a palindrome (22301133110322).

The spelling of 22200012110100 in words is "twenty-two trillion, two hundred billion, twelve million, one hundred ten thousand, one hundred".