10201220221113 has 24 divisors (see below), whose sum is σ = 15511101008000. Its totient is φ = 6442679132064.

The previous prime is 10201220221099. The next prime is 10201220221133. The reversal of 10201220221113 is 31112202210201.

10201220221113 is a `hidden beast` number, since 10 + 201 + 220 + 221 + 1 + 13 = 666.

It is not a de Polignac number, because 10201220221113 - 2¹⁷ = 10201220090041 is a prime.

It is a super-2 number, since 2×10201220221113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10201220221133) 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 23 ways as a sum of consecutive naturals, for example, 4808256 + ... + 6597102.

Almost surely, 2^{10201220221113} is an apocalyptic number.

It is an amenable number.

10201220221113 is a deficient number, since it is larger than the sum of its proper divisors (5309880786887).

10201220221113 is a wasteful number, since it uses less digits than its factorization.

10201220221113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822221 (or 1822218 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10201220221113 its reverse (31112202210201), we get a palindrome (41313422431314).

The spelling of 10201220221113 in words is "ten trillion, two hundred one billion, two hundred twenty million, two hundred twenty-one thousand, one hundred thirteen".