21022101010020 has 1152 divisors, whose sum is σ = 72906778183680. Its totient is φ = 4471188930560.

The previous prime is 21022101010019. The next prime is 21022101010067. The reversal of 21022101010020 is 2001010122012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21022101009978 and 21022101010005.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 60582423487 + ... + 60582423833.

It is an arithmetic number, because the mean of its divisors is an integer number (63287133840).

Almost surely, 2^{21022101010020} is an apocalyptic number.

21022101010020 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 21022101010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36453389091840).

21022101010020 is an abundant number, since it is smaller than the sum of its proper divisors (51884677173660).

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

21022101010020 is a wasteful number, since it uses less digits than its factorization.

21022101010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21022101010020 its reverse (2001010122012), we get a palindrome (23023111132032).

The spelling of 21022101010020 in words is "twenty-one trillion, twenty-two billion, one hundred one million, ten thousand, twenty".