21021201011200 has 180 divisors, whose sum is σ = 56396131276518. Its totient is φ = 7761673420800.

The previous prime is 21021201011179. The next prime is 21021201011203. The reversal of 21021201011200 is 211010212012.

It can be written as a sum of positive squares in 9 ways, for example, as 1528764090624 + 19492436920576 = 1236432^2 + 4415024^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (21021201011203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2695621 + ... + 7022020.

Almost surely, 2^{21021201011200} is an apocalyptic number.

21021201011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21021201011200 is an abundant number, since it is smaller than the sum of its proper divisors (35374930265318).

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

21021201011200 is an equidigital number, since it uses as much as digits as its factorization.

21021201011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9717695 (or 9717661 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21021201011200 its reverse (211010212012), we get a palindrome (21232211223212).

The spelling of 21021201011200 in words is "twenty-one trillion, twenty-one billion, two hundred one million, eleven thousand, two hundred".