720001122101 has 2 divisors, whose sum is σ = 720001122102. Its totient is φ = 720001122100.

The previous prime is 720001122089. The next prime is 720001122103. The reversal of 720001122101 is 101221100027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 397233970225 + 322767151876 = 630265^2 + 568126^2 .

It is an emirp because it is prime and its reverse (101221100027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 720001122101 - 2³⁸ = 445123215157 is a prime.

It is a super-2 number, since 2×720001122101² (a number of 25 digits) contains 22 as substring.

Together with 720001122103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 720001122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (720001122103) 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, 360000561050 + 360000561051.

It is an arithmetic number, because the mean of its divisors is an integer number (360000561051).

Almost surely, 2^720001122101 is an apocalyptic number.

It is an amenable number.

720001122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

720001122101 is an equidigital number, since it uses as much as digits as its factorization.

720001122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 720001122101 its reverse (101221100027), we get a palindrome (821222222128).

The spelling of 720001122101 in words is "seven hundred twenty billion, one million, one hundred twenty-two thousand, one hundred one".