711110121001 has 12 divisors (see below), whose sum is σ = 827227892052. Its totient is φ = 609509580288.

The previous prime is 711110120953. The next prime is 711110121011. The reversal of 711110121001 is 100121011117.

711110121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 685285952400 + 25824168601 = 827820^2 + 160699^2 .

It is not a de Polignac number, because 711110121001 - 2¹⁵ = 711110088233 is a prime.

It is a super-2 number, since 2×711110121001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (711110121011) 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, 2566821 + ... + 2830333.

It is an arithmetic number, because the mean of its divisors is an integer number (68935657671).

Almost surely, 2^711110121001 is an apocalyptic number.

It is an amenable number.

711110121001 is a deficient number, since it is larger than the sum of its proper divisors (116117771051).

711110121001 is a wasteful number, since it uses less digits than its factorization.

711110121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318600 (or 318593 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 16.

Adding to 711110121001 its reverse (100121011117), we get a palindrome (811231132118).

The spelling of 711110121001 in words is "seven hundred eleven billion, one hundred ten million, one hundred twenty-one thousand, one".