21113010001200 has 240 divisors, whose sum is σ = 73204199693856. Its totient is φ = 5170666905600.

The previous prime is 21113010001189. The next prime is 21113010001207. The reversal of 21113010001200 is 210001031112.

It is a tau number, because it is divible by the number of its divisors (240).

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 (21113010001207) 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, 361821 + ... + 6508220.

Almost surely, 2^{21113010001200} is an apocalyptic number.

21113010001200 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 21113010001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36602099846928).

21113010001200 is an abundant number, since it is smaller than the sum of its proper divisors (52091189692656).

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

21113010001200 is a wasteful number, since it uses less digits than its factorization.

21113010001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6870272 (or 6870261 counting only the distinct ones).

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

Adding to 21113010001200 its reverse (210001031112), we get a palindrome (21323011032312).

The spelling of 21113010001200 in words is "twenty-one trillion, one hundred thirteen billion, ten million, one thousand, two hundred".