72210102001 has 2 divisors, whose sum is σ = 72210102002. Its totient is φ = 72210102000.

The previous prime is 72210101983. The next prime is 72210102031. The reversal of 72210102001 is 10020101227.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63847182400 + 8362919601 = 252680^2 + 91449^2 .

It is an emirp because it is prime and its reverse (10020101227) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72210102001 - 2¹⁵ = 72210069233 is a prime.

It is not a weakly prime, because it can be changed into another prime (72210102031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36105051000 + 36105051001.

It is an arithmetic number, because the mean of its divisors is an integer number (36105051001).

Almost surely, 2^72210102001 is an apocalyptic number.

It is an amenable number.

72210102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

72210102001 is an equidigital number, since it uses as much as digits as its factorization.

72210102001 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 16.

Adding to 72210102001 its reverse (10020101227), we get a palindrome (82230203228).

The spelling of 72210102001 in words is "seventy-two billion, two hundred ten million, one hundred two thousand, one".