21132110301200 has 120 divisors (see below), whose sum is σ = 53065444177536. Its totient is φ = 8071873920000.

The previous prime is 21132110301199. The next prime is 21132110301209. The reversal of 21132110301200 is 210301123112.

It is not an unprimeable number, because it can be changed into a prime (21132110301209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3618245 + ... + 7440155.

Almost surely, 2^{21132110301200} is an apocalyptic number.

21132110301200 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 21132110301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26532722088768).

21132110301200 is an abundant number, since it is smaller than the sum of its proper divisors (31933333876336).

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

21132110301200 is a wasteful number, since it uses less digits than its factorization.

21132110301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822553 (or 3822542 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 21132110301200 its reverse (210301123112), we get a palindrome (21342411424312).

The spelling of 21132110301200 in words is "twenty-one trillion, one hundred thirty-two billion, one hundred ten million, three hundred one thousand, two hundred".