10510010610061 has 2 divisors, whose sum is σ = 10510010610062. Its totient is φ = 10510010610060.

The previous prime is 10510010609999. The next prime is 10510010610133. The reversal of 10510010610061 is 16001601001501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6065950297225 + 4444060312836 = 2462915^2 + 2108094^2 .

It is a cyclic number.

It is not a de Polignac number, because 10510010610061 - 2²⁷ = 10509876392333 is a prime.

It is a super-2 number, since 2×10510010610061² (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 (10510010610161) 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, 5255005305030 + 5255005305031.

It is an arithmetic number, because the mean of its divisors is an integer number (5255005305031).

Almost surely, 2^{10510010610061} is an apocalyptic number.

It is an amenable number.

10510010610061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10510010610061 is an equidigital number, since it uses as much as digits as its factorization.

10510010610061 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10510010610061 its reverse (16001601001501), we get a palindrome (26511611611562).

The spelling of 10510010610061 in words is "ten trillion, five hundred ten billion, ten million, six hundred ten thousand, sixty-one".