21112102101200 has 240 divisors, whose sum is σ = 55476789990336. Its totient is φ = 7657192550400.

The previous prime is 21112102101163. The next prime is 21112102101221. The reversal of 21112102101200 is 210120121112.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2914824779 + ... + 2914832021.

Almost surely, 2^{21112102101200} is an apocalyptic number.

21112102101200 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 21112102101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27738394995168).

21112102101200 is an abundant number, since it is smaller than the sum of its proper divisors (34364687889136).

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

21112102101200 is a wasteful number, since it uses less digits than its factorization.

21112102101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8902 (or 8891 counting only the distinct ones).

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

Adding to 21112102101200 its reverse (210120121112), we get a palindrome (21322222222312).

The spelling of 21112102101200 in words is "twenty-one trillion, one hundred twelve billion, one hundred two million, one hundred one thousand, two hundred".