10201112233221 has 64 divisors (see below), whose sum is σ = 17244674349056. Its totient is φ = 5219560684800.

The previous prime is 10201112233199. The next prime is 10201112233223. The reversal of 10201112233221 is 12233221110201.

It is not a de Polignac number, because 10201112233221 - 2¹⁰ = 10201112232197 is a prime.

It is a super-2 number, since 2×10201112233221² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201112233223) 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 63 ways as a sum of consecutive naturals, for example, 1817886 + ... + 4868976.

It is an arithmetic number, because the mean of its divisors is an integer number (269448036704).

Almost surely, 2^{10201112233221} is an apocalyptic number.

It is an amenable number.

10201112233221 is a deficient number, since it is larger than the sum of its proper divisors (7043562115835).

10201112233221 is a wasteful number, since it uses less digits than its factorization.

10201112233221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051482.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10201112233221 its reverse (12233221110201), we get a palindrome (22434333343422).

The spelling of 10201112233221 in words is "ten trillion, two hundred one billion, one hundred twelve million, two hundred thirty-three thousand, two hundred twenty-one".