21022020022100 has 144 divisors (see below), whose sum is σ = 47346077990400. Its totient is φ = 8095142592000.

The previous prime is 21022020022039. The next prime is 21022020022103. The reversal of 21022020022100 is 122002022012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022020022103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585569951 + ... + 585605849.

Almost surely, 2^{21022020022100} is an apocalyptic number.

21022020022100 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 21022020022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23673038995200).

21022020022100 is an abundant number, since it is smaller than the sum of its proper divisors (26324057968300).

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

21022020022100 is a wasteful number, since it uses less digits than its factorization.

21022020022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37618 (or 37611 counting only the distinct ones).

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

Adding to 21022020022100 its reverse (122002022012), we get a palindrome (21144022044112).

The spelling of 21022020022100 in words is "twenty-one trillion, twenty-two billion, twenty million, twenty-two thousand, one hundred".