22122221102100 has 576 divisors, whose sum is σ = 82837256409600. Its totient is φ = 4960465920000.

The previous prime is 22122221102077. The next prime is 22122221102117. The reversal of 22122221102100 is 120112222122.

It is a happy number.

22122221102100 is a `hidden beast` number, since 2 + 21 + 222 + 211 + 0 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 208016940 + ... + 208123260.

Almost surely, 2^{22122221102100} is an apocalyptic number.

22122221102100 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 22122221102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41418628204800).

22122221102100 is an abundant number, since it is smaller than the sum of its proper divisors (60715035307500).

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

22122221102100 is a wasteful number, since it uses less digits than its factorization.

22122221102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106561 (or 106548 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22122221102100 its reverse (120112222122), we get a palindrome (22242333324222).

The spelling of 22122221102100 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred two thousand, one hundred".