21110210011200 has 336 divisors, whose sum is σ = 72953020707840. Its totient is φ = 5329541376000.

The previous prime is 21110210011193. The next prime is 21110210011201. The reversal of 21110210011200 is 211001201112.

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

It is not an unprimeable number, because it can be changed into a prime (21110210011201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137726605 + ... + 137879795.

It is an arithmetic number, because the mean of its divisors is an integer number (217122085440).

Almost surely, 2^{21110210011200} is an apocalyptic number.

21110210011200 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 21110210011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36476510353920).

21110210011200 is an abundant number, since it is smaller than the sum of its proper divisors (51842810696640).

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

21110210011200 is a wasteful number, since it uses less digits than its factorization.

21110210011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154746 (or 154731 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21110210011200 its reverse (211001201112), we get a palindrome (21321211212312).

The spelling of 21110210011200 in words is "twenty-one trillion, one hundred ten billion, two hundred ten million, eleven thousand, two hundred".