10002102201200 has 120 divisors (see below), whose sum is σ = 24485559096240. Its totient is φ = 3925688166400.

The previous prime is 10002102201197. The next prime is 10002102201209. The reversal of 10002102201200 is 210220120001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002102201209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3591242 + ... + 5735958.

It is an arithmetic number, because the mean of its divisors is an integer number (204046325802).

Almost surely, 2^{10002102201200} is an apocalyptic number.

10002102201200 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 10002102201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12242779548120).

10002102201200 is an abundant number, since it is smaller than the sum of its proper divisors (14483456895040).

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

10002102201200 is a wasteful number, since it uses less digits than its factorization.

10002102201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144955 (or 2144944 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10002102201200 its reverse (210220120001), we get a palindrome (10212322321201).

The spelling of 10002102201200 in words is "ten trillion, two billion, one hundred two million, two hundred one thousand, two hundred".