10101001100107 has 2 divisors, whose sum is σ = 10101001100108. Its totient is φ = 10101001100106.

The previous prime is 10101001100089. The next prime is 10101001100111. The reversal of 10101001100107 is 70100110010101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10101001100107 - 2³⁵ = 10066641361739 is a prime.

It is a super-2 number, since 2×10101001100107² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10101001100167) 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, 5050500550053 + 5050500550054.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500550054).

Almost surely, 2^{10101001100107} is an apocalyptic number.

10101001100107 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101001100107 is an equidigital number, since it uses as much as digits as its factorization.

10101001100107 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 13.

Adding to 10101001100107 its reverse (70100110010101), we get a palindrome (80201111110208).

The spelling of 10101001100107 in words is "ten trillion, one hundred one billion, one million, one hundred thousand, one hundred seven".