100010110010801 has 2 divisors, whose sum is σ = 100010110010802. Its totient is φ = 100010110010800.

The previous prime is 100010110010791. The next prime is 100010110010819. The reversal of 100010110010801 is 108010011010001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54218849589025 + 45791260421776 = 7363345^2 + 6766924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010110010801 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010110010851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005055005400 + 50005055005401.

It is an arithmetic number, because the mean of its divisors is an integer number (50005055005401).

Almost surely, 2^{100010110010801} is an apocalyptic number.

It is an amenable number.

100010110010801 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010110010801 is an equidigital number, since it uses as much as digits as its factorization.

100010110010801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100010110010801 its reverse (108010011010001), we get a palindrome (208020121020802).

The spelling of 100010110010801 in words is "one hundred trillion, ten billion, one hundred ten million, ten thousand, eight hundred one".