21020221120100 has 144 divisors (see below), whose sum is σ = 48835804058496. Its totient is φ = 7825440000000.

The previous prime is 21020221120097. The next prime is 21020221120103. The reversal of 21020221120100 is 102112202012.

It is an interprime number because it is at equal distance from previous prime (21020221120097) and next prime (21020221120103).

It is a super-3 number, since 3×21020221120100³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21020221120103) 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, 122659475 + ... + 122830725.

It is an arithmetic number, because the mean of its divisors is an integer number (339137528184).

Almost surely, 2^{21020221120100} is an apocalyptic number.

21020221120100 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 21020221120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24417902029248).

21020221120100 is an abundant number, since it is smaller than the sum of its proper divisors (27815582938396).

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

21020221120100 is a wasteful number, since it uses less digits than its factorization.

21020221120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172086 (or 172079 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21020221120100 its reverse (102112202012), we get a palindrome (21122333322112).

The spelling of 21020221120100 in words is "twenty-one trillion, twenty billion, two hundred twenty-one million, one hundred twenty thousand, one hundred".