21120100211200 has 240 divisors, whose sum is σ = 54069006790656. Its totient is φ = 8167296614400.

The previous prime is 21120100211191. The next prime is 21120100211209. The reversal of 21120100211200 is 211200102112.

It is an interprime number because it is at equal distance from previous prime (21120100211191) and next prime (21120100211209).

It is a super-2 number, since 2×21120100211200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21120100211209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401932129 + ... + 401984671.

Almost surely, 2^{21120100211200} is an apocalyptic number.

21120100211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120100211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27034503395328).

21120100211200 is an abundant number, since it is smaller than the sum of its proper divisors (32948906579456).

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

21120100211200 is a wasteful number, since it uses less digits than its factorization.

21120100211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53615 (or 53594 counting only the distinct ones).

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

Adding to 21120100211200 its reverse (211200102112), we get a palindrome (21331300313312).

The spelling of 21120100211200 in words is "twenty-one trillion, one hundred twenty billion, one hundred million, two hundred eleven thousand, two hundred".