10202121221200 has 120 divisors (see below), whose sum is σ = 24856009812216. Its totient is φ = 4023674880000.

The previous prime is 10202121221093. The next prime is 10202121221219. The reversal of 10202121221200 is 212212120201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 30384673344 + 10171736547856 = 174312^2 + 3189316^2 .

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9212484 + ... + 10260316.

Almost surely, 2^{10202121221200} is an apocalyptic number.

10202121221200 is a gapful number since it is divisible by the number (10) 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 10202121221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12428004906108).

10202121221200 is an abundant number, since it is smaller than the sum of its proper divisors (14653888591016).

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

10202121221200 is a wasteful number, since it uses less digits than its factorization.

10202121221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048193 (or 1048182 counting only the distinct ones).

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

Adding to 10202121221200 its reverse (212212120201), we get a palindrome (10414333341401).

The spelling of 10202121221200 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred".