21201001001100 has 252 divisors, whose sum is σ = 71202798770880. Its totient is φ = 5471225481600.

The previous prime is 21201001001093. The next prime is 21201001001119. The reversal of 21201001001100 is 110010010212.

It is a happy number.

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

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 83 ways as a sum of consecutive naturals, for example, 2430795 + ... + 6950594.

Almost surely, 2^{21201001001100} is an apocalyptic number.

21201001001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201001001100 is an abundant number, since it is smaller than the sum of its proper divisors (50001797769780).

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

21201001001100 is a wasteful number, since it uses less digits than its factorization.

21201001001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9381452 (or 9381430 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21201001001100 its reverse (110010010212), we get a palindrome (21311011011312).

The spelling of 21201001001100 in words is "twenty-one trillion, two hundred one billion, one million, one thousand, one hundred".