1010111403221 has 2 divisors, whose sum is σ = 1010111403222. Its totient is φ = 1010111403220.

The previous prime is 1010111403187. The next prime is 1010111403233. The reversal of 1010111403221 is 1223041110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 988652376100 + 21459027121 = 994310^2 + 146489^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010111403221 - 2³⁰ = 1009037661397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010111403221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010111403241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055701610 + 505055701611.

It is an arithmetic number, because the mean of its divisors is an integer number (505055701611).

Almost surely, 2^{1010111403221} is an apocalyptic number.

It is an amenable number.

1010111403221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010111403221 is an equidigital number, since it uses as much as digits as its factorization.

1010111403221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1010111403221 its reverse (1223041110101), we get a palindrome (2233152513322).

The spelling of 1010111403221 in words is "one trillion, ten billion, one hundred eleven million, four hundred three thousand, two hundred twenty-one".