10012200201221 has 32 divisors (see below), whose sum is σ = 11196723363840. Its totient is φ = 8903852303104.

The previous prime is 10012200201173. The next prime is 10012200201281. The reversal of 10012200201221 is 12210200221001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10012200201221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012200201196 and 10012200201205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012200201281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 386275100 + ... + 386301018.

It is an arithmetic number, because the mean of its divisors is an integer number (349897605120).

Almost surely, 2^{10012200201221} is an apocalyptic number.

It is an amenable number.

10012200201221 is a deficient number, since it is larger than the sum of its proper divisors (1184523162619).

10012200201221 is a wasteful number, since it uses less digits than its factorization.

10012200201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37945.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10012200201221 its reverse (12210200221001), we get a palindrome (22222400422222).

The spelling of 10012200201221 in words is "ten trillion, twelve billion, two hundred million, two hundred one thousand, two hundred twenty-one".