21022020122000 has 80 divisors (see below), whose sum is σ = 52205062261872. Its totient is φ = 8181542937600.

The previous prime is 21022020121877. The next prime is 21022020122003. The reversal of 21022020122000 is 22102022012.

It can be written as a sum of positive squares in 8 ways, for example, as 2916280274944 + 18105739847056 = 1707712^2 + 4255084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21022020122003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 141966677 + ... + 142114676.

Almost surely, 2^{21022020122000} is an apocalyptic number.

21022020122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022020122000 is an abundant number, since it is smaller than the sum of its proper divisors (31183042139872).

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

21022020122000 is a wasteful number, since it uses less digits than its factorization.

21022020122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284081413 (or 284081397 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21022020122000 its reverse (22102022012), we get a palindrome (21044122144012).

The spelling of 21022020122000 in words is "twenty-one trillion, twenty-two billion, twenty million, one hundred twenty-two thousand".