21122211121000 has 256 divisors, whose sum is σ = 55669414993920. Its totient is φ = 7434443520000.

The previous prime is 21122211120979. The next prime is 21122211121073. The reversal of 21122211121000 is 12111222112.

It is a super-2 number, since 2×21122211121000² (a number of 27 digits) contains 22 as substring.

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, 57092614 + ... + 57461386.

It is an arithmetic number, because the mean of its divisors is an integer number (217458652320).

Almost surely, 2^{21122211121000} is an apocalyptic number.

21122211121000 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 21122211121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27834707496960).

21122211121000 is an abundant number, since it is smaller than the sum of its proper divisors (34547203872920).

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

21122211121000 is a wasteful number, since it uses less digits than its factorization.

21122211121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368973 (or 368959 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21122211121000 its reverse (12111222112), we get a palindrome (21134322343112).

It can be divided in two parts, 2112221112 and 1000, that added together give a palindrome (2112222112).

The spelling of 21122211121000 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twenty-one thousand".