21211021101200 has 120 divisors (see below), whose sum is σ = 61665251064192. Its totient is φ = 6844564776960.

The previous prime is 21211021101197. The next prime is 21211021101209. The reversal of 21211021101200 is 210112011212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (21211021101209) 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 23 ways as a sum of consecutive naturals, for example, 222757244 + ... + 222852443.

Almost surely, 2^{21211021101200} is an apocalyptic number.

21211021101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211021101200 is an abundant number, since it is smaller than the sum of its proper divisors (40454229962992).

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

21211021101200 is a wasteful number, since it uses less digits than its factorization.

21211021101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445609729 (or 445609718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21211021101200 its reverse (210112011212), we get a palindrome (21421133112412).

The spelling of 21211021101200 in words is "twenty-one trillion, two hundred eleven billion, twenty-one million, one hundred one thousand, two hundred".