21234101200 has 120 divisors (see below), whose sum is σ = 55426874328. Its totient is φ = 7770685440.

The previous prime is 21234101183. The next prime is 21234101249. The reversal of 21234101200 is 210143212.

It can be written as a sum of positive squares in 12 ways, for example, as 15164444736 + 6069656464 = 123144^2 + 77908^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569532 + ... + 605668.

Almost surely, 2^21234101200 is an apocalyptic number.

21234101200 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 21234101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27713437164).

21234101200 is an abundant number, since it is smaller than the sum of its proper divisors (34192773128).

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

21234101200 is a wasteful number, since it uses less digits than its factorization.

21234101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36281 (or 36270 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21234101200 its reverse (210143212), we get a palindrome (21444244412).

The spelling of 21234101200 in words is "twenty-one billion, two hundred thirty-four million, one hundred one thousand, two hundred".