10101100000007 has 2 divisors, whose sum is σ = 10101100000008. Its totient is φ = 10101100000006.

The previous prime is 10101099999983. The next prime is 10101100000027. The reversal of 10101100000007 is 70000000110101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10101100000007 - 2²⁶ = 10101032891143 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101100000027) 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, 5050550000003 + 5050550000004.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550000004).

Almost surely, 2^{10101100000007} is an apocalyptic number.

10101100000007 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101100000007 is an equidigital number, since it uses as much as digits as its factorization.

10101100000007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 11.

Adding to 10101100000007 its reverse (70000000110101), we get a palindrome (80101100110108).

The spelling of 10101100000007 in words is "ten trillion, one hundred one billion, one hundred million, seven", and thus it is an aban number.