21001120100 has 18 divisors (see below), whose sum is σ = 45572430834. Its totient is φ = 8400448000.

The previous prime is 21001120099. The next prime is 21001120103. The reversal of 21001120100 is 102110012.

It can be written as a sum of positive squares in 3 ways, for example, as 177475684 + 20823644416 = 13322^2 + 144304^2 .

It is not an unprimeable number, because it can be changed into a prime (21001120103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 105005501 + ... + 105005700.

It is an arithmetic number, because the mean of its divisors is an integer number (2531801713).

Almost surely, 2^21001120100 is an apocalyptic number.

21001120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001120100 is an abundant number, since it is smaller than the sum of its proper divisors (24571310734).

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

21001120100 is a wasteful number, since it uses less digits than its factorization.

21001120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210011215 (or 210011208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21001120100 its reverse (102110012), we get a palindrome (21103230112).

The spelling of 21001120100 in words is "twenty-one billion, one million, one hundred twenty thousand, one hundred".