22121022210000 has 400 divisors, whose sum is σ = 81628763234304. Its totient is φ = 5055132096000.

The previous prime is 22121022209969. The next prime is 22121022210031. The reversal of 22121022210000 is 1222012122.

It is an interprime number because it is at equal distance from previous prime (22121022209969) and next prime (22121022210031).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1332021697 + ... + 1332038303.

Almost surely, 2^{22121022210000} is an apocalyptic number.

22121022210000 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 22121022210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40814381617152).

22121022210000 is an abundant number, since it is smaller than the sum of its proper divisors (59507741024304).

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

22121022210000 is a wasteful number, since it uses less digits than its factorization.

22121022210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22988 (or 22967 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22121022210000 its reverse (1222012122), we get a palindrome (22122244222122).

The spelling of 22121022210000 in words is "twenty-two trillion, one hundred twenty-one billion, twenty-two million, two hundred ten thousand".