22102200212000 has 96 divisors (see below), whose sum is σ = 54370779240960. Its totient is φ = 8830188460800.

The previous prime is 22102200211979. The next prime is 22102200212009. The reversal of 22102200212000 is 21200220122.

It is a super-2 number, since 2×22102200212000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22102200212009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32720 + ... + 6648719.

It is an arithmetic number, because the mean of its divisors is an integer number (566362283760).

Almost surely, 2^{22102200212000} is an apocalyptic number.

22102200212000 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 22102200212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27185389620480).

22102200212000 is an abundant number, since it is smaller than the sum of its proper divisors (32268579028960).

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

22102200212000 is an equidigital number, since it uses as much as digits as its factorization.

22102200212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682291 (or 6682273 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22102200212000 its reverse (21200220122), we get a palindrome (22123400432122).

The spelling of 22102200212000 in words is "twenty-two trillion, one hundred two billion, two hundred million, two hundred twelve thousand".