22102201212300 has 432 divisors, whose sum is σ = 81030742450560. Its totient is φ = 5125144464000.

The previous prime is 22102201212263. The next prime is 22102201212313. The reversal of 22102201212300 is 321210220122.

22102201212300 is a `hidden beast` number, since 2 + 21 + 0 + 220 + 121 + 2 + 300 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 15007915 + ... + 16414685.

It is an arithmetic number, because the mean of its divisors is an integer number (187571163080).

Almost surely, 2^{22102201212300} is an apocalyptic number.

22102201212300 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 22102201212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40515371225280).

22102201212300 is an abundant number, since it is smaller than the sum of its proper divisors (58928541238260).

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

22102201212300 is a wasteful number, since it uses less digits than its factorization.

22102201212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406851 (or 1406815 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22102201212300 its reverse (321210220122), we get a palindrome (22423411432422).

The spelling of 22102201212300 in words is "twenty-two trillion, one hundred two billion, two hundred one million, two hundred twelve thousand, three hundred".