10001101111061 has 2 divisors, whose sum is σ = 10001101111062. Its totient is φ = 10001101111060.

The previous prime is 10001101111033. The next prime is 10001101111109. The reversal of 10001101111061 is 16011110110001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9181469648836 + 819631462225 = 3030094^2 + 905335^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001101111061 - 2¹⁸ = 10001100848917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001101117061) 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, 5000550555530 + 5000550555531.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550555531).

Almost surely, 2^{10001101111061} is an apocalyptic number.

It is an amenable number.

10001101111061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001101111061 is an equidigital number, since it uses as much as digits as its factorization.

10001101111061 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 10001101111061 its reverse (16011110110001), we get a palindrome (26012211221062).

The spelling of 10001101111061 in words is "ten trillion, one billion, one hundred one million, one hundred eleven thousand, sixty-one".