21402222250200 has 384 divisors, whose sum is σ = 75776387500800. Its totient is φ = 4949147392000.

The previous prime is 21402222250193. The next prime is 21402222250223. The reversal of 21402222250200 is 205222220412.

It is a happy number.

It is a super-4 number, since 4×21402222250200⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15212590 + ... + 16559810.

It is an arithmetic number, because the mean of its divisors is an integer number (197334342450).

Almost surely, 2^{21402222250200} is an apocalyptic number.

21402222250200 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 21402222250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37888193750400).

21402222250200 is an abundant number, since it is smaller than the sum of its proper divisors (54374165250600).

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

21402222250200 is a wasteful number, since it uses less digits than its factorization.

21402222250200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347363 (or 1347354 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 21402222250200 its reverse (205222220412), we get a palindrome (21607444470612).

The spelling of 21402222250200 in words is "twenty-one trillion, four hundred two billion, two hundred twenty-two million, two hundred fifty thousand, two hundred".