10002202321200 has 120 divisors (see below), whose sum is σ = 32351460231168. Its totient is φ = 2641358250240.

The previous prime is 10002202321187. The next prime is 10002202321219. The reversal of 10002202321200 is 212320220001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 10002202321200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40338384 + ... + 40585583.

Almost surely, 2^{10002202321200} is an apocalyptic number.

10002202321200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002202321200 is an abundant number, since it is smaller than the sum of its proper divisors (22349257909968).

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

10002202321200 is a wasteful number, since it uses less digits than its factorization.

10002202321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80924091 (or 80924080 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10002202321200 its reverse (212320220001), we get a palindrome (10214522541201).

The spelling of 10002202321200 in words is "ten trillion, two billion, two hundred two million, three hundred twenty-one thousand, two hundred".