21121000020 has 96 divisors (see below), whose sum is σ = 69168220800. Its totient is φ = 5335828992.

The previous prime is 21121000007. The next prime is 21121000051. The reversal of 21121000020 is 2000012112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21120999966 and 21121000011.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1019029 + ... + 1039548.

It is an arithmetic number, because the mean of its divisors is an integer number (720502300).

Almost surely, 2^21121000020 is an apocalyptic number.

21121000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121000020 is an abundant number, since it is smaller than the sum of its proper divisors (48047220780).

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

21121000020 is a wasteful number, since it uses less digits than its factorization.

21121000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058614 (or 2058606 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21121000020 its reverse (2000012112), we get a palindrome (23121012132).

The spelling of 21121000020 in words is "twenty-one billion, one hundred twenty-one million, twenty", and thus it is an aban number.