10011120110221 has 2 divisors, whose sum is σ = 10011120110222. Its totient is φ = 10011120110220.

The previous prime is 10011120110219. The next prime is 10011120110237. The reversal of 10011120110221 is 12201102111001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5894887787721 + 4116232322500 = 2427939^2 + 2028850^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011120110221 - 2¹ = 10011120110219 is a prime.

It is a super-2 number, since 2×10011120110221² (a number of 27 digits) contains 22 as substring.

Together with 10011120110219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011120110821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005560055110 + 5005560055111.

It is an arithmetic number, because the mean of its divisors is an integer number (5005560055111).

Almost surely, 2^{10011120110221} is an apocalyptic number.

It is an amenable number.

10011120110221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011120110221 is an equidigital number, since it uses as much as digits as its factorization.

10011120110221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10011120110221 its reverse (12201102111001), we get a palindrome (22212222221222).

The spelling of 10011120110221 in words is "ten trillion, eleven billion, one hundred twenty million, one hundred ten thousand, two hundred twenty-one".