10111201102221 has 32 divisors (see below), whose sum is σ = 14563166822400. Its totient is φ = 6221852049600.

The previous prime is 10111201102193. The next prime is 10111201102231. The reversal of 10111201102221 is 12220110211101.

It is a happy number.

It is not a de Polignac number, because 10111201102221 - 2¹⁷ = 10111200971149 is a prime.

It is a super-4 number, since 4×10111201102221⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10111201102221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111201102231) 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, 6025795 + ... + 7518816.

It is an arithmetic number, because the mean of its divisors is an integer number (455098963200).

Almost surely, 2^{10111201102221} is an apocalyptic number.

It is an amenable number.

10111201102221 is a deficient number, since it is larger than the sum of its proper divisors (4451965720179).

10111201102221 is a wasteful number, since it uses less digits than its factorization.

10111201102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13545017.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10111201102221 its reverse (12220110211101), we get a palindrome (22331311313322).

The spelling of 10111201102221 in words is "ten trillion, one hundred eleven billion, two hundred one million, one hundred two thousand, two hundred twenty-one".