10101100000067 has 2 divisors, whose sum is σ = 10101100000068. Its totient is φ = 10101100000066.

The previous prime is 10101100000063. The next prime is 10101100000151. The reversal of 10101100000067 is 76000000110101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10101100000067 - 2² = 10101100000063 is a prime.

It is a super-2 number, since 2×10101100000067² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10101100000063) 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, 5050550000033 + 5050550000034.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550000034).

Almost surely, 2^{10101100000067} is an apocalyptic number.

10101100000067 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101100000067 is an equidigital number, since it uses as much as digits as its factorization.

10101100000067 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 17.

Adding to 10101100000067 its reverse (76000000110101), we get a palindrome (86101100110168).

The spelling of 10101100000067 in words is "ten trillion, one hundred one billion, one hundred million, sixty-seven", and thus it is an aban number.