10100111101061 has 2 divisors, whose sum is σ = 10100111101062. Its totient is φ = 10100111101060.

The previous prime is 10100111101057. The next prime is 10100111101117. The reversal of 10100111101061 is 16010111100101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8349967316161 + 1750143784900 = 2889631^2 + 1322930^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100111101061 - 2² = 10100111101057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100111101001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055550530 + 5050055550531.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055550531).

Almost surely, 2^{10100111101061} is an apocalyptic number.

It is an amenable number.

10100111101061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111101061 is an equidigital number, since it uses as much as digits as its factorization.

10100111101061 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 10100111101061 its reverse (16010111100101), we get a palindrome (26110222201162).

The spelling of 10100111101061 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred one thousand, sixty-one".