21201444001100 has 72 divisors (see below), whose sum is σ = 51920276108400. Its totient is φ = 7443767161600.

The previous prime is 21201444001099. The next prime is 21201444001123. The reversal of 21201444001100 is 110044410212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332279135 + ... + 332342934.

It is an arithmetic number, because the mean of its divisors is an integer number (721114945950).

Almost surely, 2^{21201444001100} is an apocalyptic number.

21201444001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201444001100 is an abundant number, since it is smaller than the sum of its proper divisors (30718832107300).

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

21201444001100 is a wasteful number, since it uses less digits than its factorization.

21201444001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664622123 (or 664622116 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21201444001100 its reverse (110044410212), we get a palindrome (21311488411312).

The spelling of 21201444001100 in words is "twenty-one trillion, two hundred one billion, four hundred forty-four million, one thousand, one hundred".