10001101011061 has 2 divisors, whose sum is σ = 10001101011062. Its totient is φ = 10001101011060.

The previous prime is 10001101011001. The next prime is 10001101011067. The reversal of 10001101011061 is 16011010110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8730902136100 + 1270198874961 = 2954810^2 + 1127031^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001101011061 - 2¹¹ = 10001101009013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001101011067) 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, 5000550505530 + 5000550505531.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550505531).

Almost surely, 2^{10001101011061} is an apocalyptic number.

It is an amenable number.

10001101011061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001101011061 is an equidigital number, since it uses as much as digits as its factorization.

10001101011061 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 13.

Adding to 10001101011061 its reverse (16011010110001), we get a palindrome (26012111121062).

The spelling of 10001101011061 in words is "ten trillion, one billion, one hundred one million, eleven thousand, sixty-one".