10000221021200 has 60 divisors (see below), whose sum is σ = 24057269553540. Its totient is φ = 3994804154880.

The previous prime is 10000221021179. The next prime is 10000221021221. The reversal of 10000221021200 is 212012200001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10000221021179) and next prime (10000221021221).

It can be written as a sum of positive squares in 6 ways, for example, as 1572281104 + 9998648740096 = 39652^2 + 3162064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16210115 + ... + 16815714.

It is an arithmetic number, because the mean of its divisors is an integer number (400954492559).

Almost surely, 2^{10000221021200} is an apocalyptic number.

10000221021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000221021200 is an abundant number, since it is smaller than the sum of its proper divisors (14057048532340).

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

10000221021200 is a wasteful number, since it uses less digits than its factorization.

10000221021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33026604 (or 33026593 counting only the distinct ones).

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

Adding to 10000221021200 its reverse (212012200001), we get a palindrome (10212233221201).

The spelling of 10000221021200 in words is "ten trillion, two hundred twenty-one million, twenty-one thousand, two hundred".