10111010112221 has 12 divisors (see below), whose sum is σ = 10677696241212. Its totient is φ = 9572999658624.

The previous prime is 10111010112209. The next prime is 10111010112239. The reversal of 10111010112221 is 12221101011101.

It can be written as a sum of positive squares in 2 ways, for example, as 5296764160900 + 4814245951321 = 2301470^2 + 2194139^2 .

It is not a de Polignac number, because 10111010112221 - 2³⁴ = 10093830243037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111010112196 and 10111010112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111010112251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7963820 + ... + 9145733.

It is an arithmetic number, because the mean of its divisors is an integer number (889808020101).

Almost surely, 2^{10111010112221} is an apocalyptic number.

It is an amenable number.

10111010112221 is a deficient number, since it is larger than the sum of its proper divisors (566686128991).

10111010112221 is a wasteful number, since it uses less digits than its factorization.

10111010112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17111228 (or 17111209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10111010112221 its reverse (12221101011101), we get a palindrome (22332111123322).

The spelling of 10111010112221 in words is "ten trillion, one hundred eleven billion, ten million, one hundred twelve thousand, two hundred twenty-one".