10111111202221 has 12 divisors (see below), whose sum is σ = 10450751566332. Its totient is φ = 9782179704000.

The previous prime is 10111111202161. The next prime is 10111111202251. The reversal of 10111111202221 is 12220211111101.

It can be written as a sum of positive squares in 2 ways, for example, as 5086851714025 + 5024259488196 = 2255405^2 + 2241486^2 .

It is not a de Polignac number, because 10111111202221 - 2²³ = 10111102813613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111111202195 and 10111111202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111111202251) 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 11 ways as a sum of consecutive naturals, for example, 1917241 + ... + 4888561.

It is an arithmetic number, because the mean of its divisors is an integer number (870895963861).

Almost surely, 2^{10111111202221} is an apocalyptic number.

It is an amenable number.

10111111202221 is a deficient number, since it is larger than the sum of its proper divisors (339640364111).

10111111202221 is an equidigital number, since it uses as much as digits as its factorization.

10111111202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974924 (or 2974893 counting only the distinct ones).

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

Adding to 10111111202221 its reverse (12220211111101), we get a palindrome (22331322313322).

The spelling of 10111111202221 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, two hundred two thousand, two hundred twenty-one".