21021122122000 has 1440 divisors, whose sum is σ = 69921471739392. Its totient is φ = 5979916800000.

The previous prime is 21021122121917. The next prime is 21021122122043. The reversal of 21021122122000 is 22122112012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 28914885637 + ... + 28914886363.

Almost surely, 2^{21021122122000} is an apocalyptic number.

21021122122000 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 21021122122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34960735869696).

21021122122000 is an abundant number, since it is smaller than the sum of its proper divisors (48900349617392).

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

21021122122000 is a wasteful number, since it uses less digits than its factorization.

21021122122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21021122122000 its reverse (22122112012), we get a palindrome (21043244234012).

The spelling of 21021122122000 in words is "twenty-one trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand".