10010611005061 has 2 divisors, whose sum is σ = 10010611005062. Its totient is φ = 10010611005060.

The previous prime is 10010611005049. The next prime is 10010611005071. The reversal of 10010611005061 is 16050011601001.

10010611005061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9970848252225 + 39762752836 = 3157665^2 + 199406^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010611005061 - 2²¹ = 10010608907909 is a prime.

It is a super-2 number, since 2×10010611005061² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010611005001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005305502530 + 5005305502531.

It is an arithmetic number, because the mean of its divisors is an integer number (5005305502531).

Almost surely, 2^{10010611005061} is an apocalyptic number.

It is an amenable number.

10010611005061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010611005061 is an equidigital number, since it uses as much as digits as its factorization.

10010611005061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 10010611005061 its reverse (16050011601001), we get a palindrome (26060622606062).

The spelling of 10010611005061 in words is "ten trillion, ten billion, six hundred eleven million, five thousand, sixty-one".