10010100011801 has 2 divisors, whose sum is σ = 10010100011802. Its totient is φ = 10010100011800.

The previous prime is 10010100011761. The next prime is 10010100011839. The reversal of 10010100011801 is 10811000101001.

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., 9266538721801 + 743561290000 = 3044099^2 + 862300^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010100011801 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010100011851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050005900 + 5005050005901.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050005901).

Almost surely, 2^{10010100011801} is an apocalyptic number.

It is an amenable number.

10010100011801 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010100011801 is an equidigital number, since it uses as much as digits as its factorization.

10010100011801 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 10010100011801 its reverse (10811000101001), we get a palindrome (20821100112802).

The spelling of 10010100011801 in words is "ten trillion, ten billion, one hundred million, eleven thousand, eight hundred one".