22121110113300 has 648 divisors, whose sum is σ = 79182231492000. Its totient is φ = 5119069363200.

The previous prime is 22121110113299. The next prime is 22121110113301. The reversal of 22121110113300 is 331101112122.

22121110113300 is a `hidden beast` number, since 2 + 21 + 211 + 101 + 1 + 330 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22121110113299) and next prime (22121110113301).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121110113301) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 1028925951 + ... + 1028947449.

Almost surely, 2^{22121110113300} is an apocalyptic number.

22121110113300 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 22121110113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39591115746000).

22121110113300 is an abundant number, since it is smaller than the sum of its proper divisors (57061121378700).

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

22121110113300 is a wasteful number, since it uses less digits than its factorization.

22121110113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21673 (or 21610 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 22121110113300 its reverse (331101112122), we get a palindrome (22452211225422).

The spelling of 22121110113300 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred ten million, one hundred thirteen thousand, three hundred".