72101348801 has 2 divisors, whose sum is σ = 72101348802. Its totient is φ = 72101348800.

The previous prime is 72101348741. The next prime is 72101348833. The reversal of 72101348801 is 10884310127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52865045776 + 19236303025 = 229924^2 + 138695^2 .

It is a cyclic number.

It is not a de Polignac number, because 72101348801 - 2²² = 72097154497 is a prime.

It is not a weakly prime, because it can be changed into another prime (72101348881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36050674400 + 36050674401.

It is an arithmetic number, because the mean of its divisors is an integer number (36050674401).

Almost surely, 2^72101348801 is an apocalyptic number.

It is an amenable number.

72101348801 is a deficient number, since it is larger than the sum of its proper divisors (1).

72101348801 is an equidigital number, since it uses as much as digits as its factorization.

72101348801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 35.

Adding to 72101348801 its reverse (10884310127), we get a palindrome (82985658928).

The spelling of 72101348801 in words is "seventy-two billion, one hundred one million, three hundred forty-eight thousand, eight hundred one".