22120201021100 has 216 divisors, whose sum is σ = 60140525478768. Its totient is φ = 6999793113600.

The previous prime is 22120201021073. The next prime is 22120201021111. The reversal of 22120201021100 is 112010202122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 658067894 + ... + 658101506.

It is an arithmetic number, because the mean of its divisors is an integer number (278428358698).

Almost surely, 2^{22120201021100} is an apocalyptic number.

22120201021100 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 22120201021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30070262739384).

22120201021100 is an abundant number, since it is smaller than the sum of its proper divisors (38020324457668).

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

22120201021100 is a wasteful number, since it uses less digits than its factorization.

22120201021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43985 (or 43971 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22120201021100 its reverse (112010202122), we get a palindrome (22232211223222).

The spelling of 22120201021100 in words is "twenty-two trillion, one hundred twenty billion, two hundred one million, twenty-one thousand, one hundred".