21401107200 has 864 divisors, whose sum is σ = 87290246400. Its totient is φ = 5150822400.

The previous prime is 21401107199. The next prime is 21401107201. The reversal of 21401107200 is 270110412.

It is an interprime number because it is at equal distance from previous prime (21401107199) and next prime (21401107201).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21401107201) 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 95 ways as a sum of consecutive naturals, for example, 153964731 + ... + 153964869.

Almost surely, 2^21401107200 is an apocalyptic number.

21401107200 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 21401107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43645123200).

21401107200 is an abundant number, since it is smaller than the sum of its proper divisors (65889139200).

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

21401107200 is an equidigital number, since it uses as much as digits as its factorization.

21401107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 21401107200 its reverse (270110412), we get a palindrome (21671217612).

The spelling of 21401107200 in words is "twenty-one billion, four hundred one million, one hundred seven thousand, two hundred".