21121022200000 has 336 divisors, whose sum is σ = 52964063520480. Its totient is φ = 8355778560000.

The previous prime is 21121022199941. The next prime is 21121022200123. The reversal of 21121022200000 is 222012112.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8145398704 + ... + 8145401296.

It is an arithmetic number, because the mean of its divisors is an integer number (157631141430).

Almost surely, 2^{21121022200000} is an apocalyptic number.

21121022200000 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 21121022200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26482031760240).

21121022200000 is an abundant number, since it is smaller than the sum of its proper divisors (31843041320480).

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

21121022200000 is an equidigital number, since it uses as much as digits as its factorization.

21121022200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21121022200000 its reverse (222012112), we get a palindrome (21121244212112).

The spelling of 21121022200000 in words is "twenty-one trillion, one hundred twenty-one billion, twenty-two million, two hundred thousand".