10187311721 has 2 divisors, whose sum is σ = 10187311722. Its totient is φ = 10187311720.

The previous prime is 10187311663. The next prime is 10187311741. The reversal of 10187311721 is 12711378101.

10187311721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10183837225 + 3474496 = 100915^2 + 1864^2 .

It is a cyclic number.

It is not a de Polignac number, because 10187311721 - 2¹⁴ = 10187295337 is a prime.

It is not a weakly prime, because it can be changed into another prime (10187311741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5093655860 + 5093655861.

It is an arithmetic number, because the mean of its divisors is an integer number (5093655861).

Almost surely, 2^10187311721 is an apocalyptic number.

It is an amenable number.

10187311721 is a deficient number, since it is larger than the sum of its proper divisors (1).

10187311721 is an equidigital number, since it uses as much as digits as its factorization.

10187311721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 32.

Adding to 10187311721 its reverse (12711378101), we get a palindrome (22898689822).

The spelling of 10187311721 in words is "ten billion, one hundred eighty-seven million, three hundred eleven thousand, seven hundred twenty-one".