10001111106101 has 2 divisors, whose sum is σ = 10001111106102. Its totient is φ = 10001111106100.

The previous prime is 10001111106037. The next prime is 10001111106109. The reversal of 10001111106101 is 10160111110001.

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., 7971440743876 + 2029670362225 = 2823374^2 + 1424665^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001111106101 - 2⁶ = 10001111106037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001111106109) 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, 5000555553050 + 5000555553051.

It is an arithmetic number, because the mean of its divisors is an integer number (5000555553051).

Almost surely, 2^{10001111106101} is an apocalyptic number.

It is an amenable number.

10001111106101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001111106101 is an equidigital number, since it uses as much as digits as its factorization.

10001111106101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 10001111106101 its reverse (10160111110001), we get a palindrome (20161222216102).

The spelling of 10001111106101 in words is "ten trillion, one billion, one hundred eleven million, one hundred six thousand, one hundred one".