101000100001061 has 2 divisors, whose sum is σ = 101000100001062. Its totient is φ = 101000100001060.

The previous prime is 101000100000959. The next prime is 101000100001091. The reversal of 101000100001061 is 160100001000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87157049610436 + 13843050390625 = 9335794^2 + 3720625^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000100001061 - 2⁴² = 96602053489957 is a prime.

It is a super-2 number, since 2×101000100001061² (a number of 29 digits) contains 22 as substring.

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 (101000100001091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050000530 + 50500050000531.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050000531).

Almost surely, 2^{101000100001061} is an apocalyptic number.

It is an amenable number.

101000100001061 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000100001061 is an equidigital number, since it uses as much as digits as its factorization.

101000100001061 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 101000100001061 its reverse (160100001000101), we get a palindrome (261100101001162).

The spelling of 101000100001061 in words is "one hundred one trillion, one hundred million, one thousand, sixty-one".