10201200221200 has 120 divisors (see below), whose sum is σ = 26919964065600. Its totient is φ = 3697643220480.

The previous prime is 10201200221197. The next prime is 10201200221243. The reversal of 10201200221200 is 212200210201.

It is a happy number.

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, 29004835 + ... + 29354434.

It is an arithmetic number, because the mean of its divisors is an integer number (224333033880).

Almost surely, 2^{10201200221200} is an apocalyptic number.

10201200221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201200221200 is an abundant number, since it is smaller than the sum of its proper divisors (16718763844400).

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

10201200221200 is a wasteful number, since it uses less digits than its factorization.

10201200221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58359329 (or 58359318 counting only the distinct ones).

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

Adding to 10201200221200 its reverse (212200210201), we get a palindrome (10413400431401).

The spelling of 10201200221200 in words is "ten trillion, two hundred one billion, two hundred million, two hundred twenty-one thousand, two hundred".