101123123201 has 2 divisors, whose sum is σ = 101123123202. Its totient is φ = 101123123200.

The previous prime is 101123123191. The next prime is 101123123203. The reversal of 101123123201 is 102321321101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75594753025 + 25528370176 = 274945^2 + 159776^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101123123201 is a prime.

Together with 101123123203, 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 101123123201.

It is not a weakly prime, because it can be changed into another prime (101123123203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561561600 + 50561561601.

It is an arithmetic number, because the mean of its divisors is an integer number (50561561601).

Almost surely, 2^101123123201 is an apocalyptic number.

It is an amenable number.

101123123201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101123123201 is an equidigital number, since it uses as much as digits as its factorization.

101123123201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101123123201 its reverse (102321321101), we get a palindrome (203444444302).

It can be divided in two parts, 10112 and 3123201, that added together give a palindrome (3133313).

The spelling of 101123123201 in words is "one hundred one billion, one hundred twenty-three million, one hundred twenty-three thousand, two hundred one".