21001120102200 has 1920 divisors, whose sum is σ = 81419858795520. Its totient is φ = 4471358976000.

The previous prime is 21001120102181. The next prime is 21001120102253. The reversal of 21001120102200 is 220102110012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 207931882150 + ... + 207931882250.

It is an arithmetic number, because the mean of its divisors is an integer number (42406176456).

Almost surely, 2^{21001120102200} is an apocalyptic number.

21001120102200 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 21001120102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40709929397760).

21001120102200 is an abundant number, since it is smaller than the sum of its proper divisors (60418738693320).

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

21001120102200 is a wasteful number, since it uses less digits than its factorization.

21001120102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21001120102200 its reverse (220102110012), we get a palindrome (21221222212212).

The spelling of 21001120102200 in words is "twenty-one trillion, one billion, one hundred twenty million, one hundred two thousand, two hundred".