101010011011801 has 2 divisors, whose sum is σ = 101010011011802. Its totient is φ = 101010011011800.

The previous prime is 101010011011697. The next prime is 101010011011813. The reversal of 101010011011801 is 108110110010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74847604405401 + 26162406606400 = 8651451^2 + 5114920^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010011011801 - 2²¹ = 101010008914649 is a prime.

It is a super-2 number, since 2×101010011011801² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101010011011831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505005505900 + 50505005505901.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005505901).

Almost surely, 2^{101010011011801} is an apocalyptic number.

It is an amenable number.

101010011011801 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010011011801 is an equidigital number, since it uses as much as digits as its factorization.

101010011011801 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 16.

Adding to 101010011011801 its reverse (108110110010101), we get a palindrome (209120121021902).

The spelling of 101010011011801 in words is "one hundred one trillion, ten billion, eleven million, eleven thousand, eight hundred one".