1000272111401 has 2 divisors, whose sum is σ = 1000272111402. Its totient is φ = 1000272111400.

The previous prime is 1000272111389. The next prime is 1000272111413. The reversal of 1000272111401 is 1041112720001.

It is a balanced prime because it is at equal distance from previous prime (1000272111389) and next prime (1000272111413).

It can be written as a sum of positive squares in only one way, i.e., 995004255001 + 5267856400 = 997499^2 + 72580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000272111401 is a prime.

It is a super-2 number, since 2×1000272111401² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1000272111481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500136055700 + 500136055701.

It is an arithmetic number, because the mean of its divisors is an integer number (500136055701).

Almost surely, 2^{1000272111401} is an apocalyptic number.

It is an amenable number.

1000272111401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000272111401 is an equidigital number, since it uses as much as digits as its factorization.

1000272111401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 1000272111401 its reverse (1041112720001), we get a palindrome (2041384831402).

The spelling of 1000272111401 in words is "one trillion, two hundred seventy-two million, one hundred eleven thousand, four hundred one".