10021222201200 has 360 divisors, whose sum is σ = 37381016747520. Its totient is φ = 2288193062400.

The previous prime is 10021222201141. The next prime is 10021222201201. The reversal of 10021222201200 is 210222212001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10021222201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021222201201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57007041 + ... + 57182559.

It is an arithmetic number, because the mean of its divisors is an integer number (103836157632).

Almost surely, 2^{10021222201200} is an apocalyptic number.

10021222201200 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 10021222201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18690508373760).

10021222201200 is an abundant number, since it is smaller than the sum of its proper divisors (27359794546320).

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

10021222201200 is a wasteful number, since it uses less digits than its factorization.

10021222201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176525 (or 176507 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10021222201200 its reverse (210222212001), we get a palindrome (10231444413201).

The spelling of 10021222201200 in words is "ten trillion, twenty-one billion, two hundred twenty-two million, two hundred one thousand, two hundred".