10010101061 has 2 divisors, whose sum is σ = 10010101062. Its totient is φ = 10010101060.

The previous prime is 10010101019. The next prime is 10010101063. The reversal of 10010101061 is 16010101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7922068036 + 2088033025 = 89006^2 + 45695^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010101061 - 2¹⁴ = 10010084677 is a prime.

Together with 10010101063, 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 (10010101063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050530 + 5005050531.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050531).

Almost surely, 2^10010101061 is an apocalyptic number.

It is an amenable number.

10010101061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010101061 is an equidigital number, since it uses as much as digits as its factorization.

10010101061 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 11.

Adding to 10010101061 its reverse (16010101001), we get a palindrome (26020202062).

The spelling of 10010101061 in words is "ten billion, ten million, one hundred one thousand, sixty-one".