21122102201200 has 480 divisors, whose sum is σ = 69094019699712. Its totient is φ = 5991487488000.

The previous prime is 21122102201197. The next prime is 21122102201267. The reversal of 21122102201200 is 210220122112.

It is a happy number.

It is a super-2 number, since 2×21122102201200² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 28056904 + ... + 28799896.

Almost surely, 2^{21122102201200} is an apocalyptic number.

21122102201200 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 21122102201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34547009849856).

21122102201200 is an abundant number, since it is smaller than the sum of its proper divisors (47971917498512).

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

21122102201200 is a wasteful number, since it uses less digits than its factorization.

21122102201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743113 (or 743102 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21122102201200 its reverse (210220122112), we get a palindrome (21332322323312).

It can be divided in two parts, 21 and 122102201200, that added together give a palindrome (122102201221).

The spelling of 21122102201200 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred two million, two hundred one thousand, two hundred".