22212110102000 has 320 divisors, whose sum is σ = 66115285017600. Its totient is φ = 7028485862400.

The previous prime is 22212110101997. The next prime is 22212110102023. The reversal of 22212110102000 is 20101121222.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1794331811 + ... + 1794344189.

It is an arithmetic number, because the mean of its divisors is an integer number (206610265680).

Almost surely, 2^{22212110102000} is an apocalyptic number.

22212110102000 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 22212110102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33057642508800).

22212110102000 is an abundant number, since it is smaller than the sum of its proper divisors (43903174915600).

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

22212110102000 is a wasteful number, since it uses less digits than its factorization.

22212110102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22281 (or 22265 counting only the distinct ones).

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

Adding to 22212110102000 its reverse (20101121222), we get a palindrome (22232211223222).

The spelling of 22212110102000 in words is "twenty-two trillion, two hundred twelve billion, one hundred ten million, one hundred two thousand".