100101001811 has 2 divisors, whose sum is σ = 100101001812. Its totient is φ = 100101001810.

The previous prime is 100101001799. The next prime is 100101001813. The reversal of 100101001811 is 118100101001.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (118100101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100101001811 - 2⁶ = 100101001747 is a prime.

Together with 100101001813, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100101001813) 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, 50050500905 + 50050500906.

It is an arithmetic number, because the mean of its divisors is an integer number (50050500906).

Almost surely, 2^100101001811 is an apocalyptic number.

100101001811 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101001811 is an equidigital number, since it uses as much as digits as its factorization.

100101001811 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 100101001811 its reverse (118100101001), we get a palindrome (218201102812).

The spelling of 100101001811 in words is "one hundred billion, one hundred one million, one thousand, eight hundred eleven".