8101815850801 has 2 divisors, whose sum is σ = 8101815850802. Its totient is φ = 8101815850800.

The previous prime is 8101815850699. The next prime is 8101815850841. The reversal of 8101815850801 is 1080585181018.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4652976869776 + 3448838981025 = 2157076^2 + 1857105^2 .

It is a cyclic number.

It is not a de Polignac number, because 8101815850801 - 2²³ = 8101807462193 is a prime.

It is not a weakly prime, because it can be changed into another prime (8101815850841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4050907925400 + 4050907925401.

It is an arithmetic number, because the mean of its divisors is an integer number (4050907925401).

Almost surely, 2^{8101815850801} is an apocalyptic number.

It is an amenable number.

8101815850801 is a deficient number, since it is larger than the sum of its proper divisors (1).

8101815850801 is an equidigital number, since it uses as much as digits as its factorization.

8101815850801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 102400, while the sum is 46.

The spelling of 8101815850801 in words is "eight trillion, one hundred one billion, eight hundred fifteen million, eight hundred fifty thousand, eight hundred one".