21213601032200 has 96 divisors (see below), whose sum is σ = 49717434547200. Its totient is φ = 8417363754240.

The previous prime is 21213601032191. The next prime is 21213601032209. The reversal of 21213601032200 is 223010631212.

It is an interprime number because it is at equal distance from previous prime (21213601032191) and next prime (21213601032209).

It is not an unprimeable number, because it can be changed into a prime (21213601032209) 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, 179493527 + ... + 179611673.

It is an arithmetic number, because the mean of its divisors is an integer number (517889943200).

Almost surely, 2^{21213601032200} is an apocalyptic number.

21213601032200 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 21213601032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24858717273600).

21213601032200 is an abundant number, since it is smaller than the sum of its proper divisors (28503833515000).

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

21213601032200 is a wasteful number, since it uses less digits than its factorization.

21213601032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125359 (or 125350 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 21213601032200 its reverse (223010631212), we get a palindrome (21436611663412).

The spelling of 21213601032200 in words is "twenty-one trillion, two hundred thirteen billion, six hundred one million, thirty-two thousand, two hundred".