10002211202200 has 48 divisors (see below), whose sum is σ = 26577304055280. Its totient is φ = 3429329554560.

The previous prime is 10002211202177. The next prime is 10002211202201. The reversal of 10002211202200 is 220211220001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002211202201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3572216887 + ... + 3572219686.

It is an arithmetic number, because the mean of its divisors is an integer number (553693834485).

Almost surely, 2^{10002211202200} is an apocalyptic number.

10002211202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002211202200 is an abundant number, since it is smaller than the sum of its proper divisors (16575092853080).

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

10002211202200 is a wasteful number, since it uses less digits than its factorization.

10002211202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7144436596 (or 7144436587 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10002211202200 its reverse (220211220001), we get a palindrome (10222422422201).

The spelling of 10002211202200 in words is "ten trillion, two billion, two hundred eleven million, two hundred two thousand, two hundred".