10011111001061 has 2 divisors, whose sum is σ = 10011111001062. Its totient is φ = 10011111001060.

The previous prime is 10011111001037. The next prime is 10011111001063. The reversal of 10011111001061 is 16010011111001.

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., 10010858032036 + 252969025 = 3163994^2 + 15905^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011111001061 - 2¹⁸ = 10011110738917 is a prime.

Together with 10011111001063, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011111001063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005555500530 + 5005555500531.

It is an arithmetic number, because the mean of its divisors is an integer number (5005555500531).

Almost surely, 2^{10011111001061} is an apocalyptic number.

It is an amenable number.

10011111001061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011111001061 is an equidigital number, since it uses as much as digits as its factorization.

10011111001061 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 10011111001061 its reverse (16010011111001), we get a palindrome (26021122112062).

The spelling of 10011111001061 in words is "ten trillion, eleven billion, one hundred eleven million, one thousand, sixty-one".