11000102110001 has 2 divisors, whose sum is σ = 11000102110002. Its totient is φ = 11000102110000.

The previous prime is 11000102109973. The next prime is 11000102110021. The reversal of 11000102110001 is 10001120100011.

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., 10854520944400 + 145581165601 = 3294620^2 + 381551^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000102110001 - 2³⁰ = 10999028368177 is a prime.

It is not a weakly prime, because it can be changed into another prime (11000102110021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500051055000 + 5500051055001.

It is an arithmetic number, because the mean of its divisors is an integer number (5500051055001).

Almost surely, 2^{11000102110001} is an apocalyptic number.

It is an amenable number.

11000102110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000102110001 is an equidigital number, since it uses as much as digits as its factorization.

11000102110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11000102110001 its reverse (10001120100011), we get a palindrome (21001222210012).

The spelling of 11000102110001 in words is "eleven trillion, one hundred two million, one hundred ten thousand, one".