10101001001107 has 2 divisors, whose sum is σ = 10101001001108. Its totient is φ = 10101001001106.

The previous prime is 10101001001017. The next prime is 10101001001111. The reversal of 10101001001107 is 70110010010101.

10101001001107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (10101001001017) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10101001001107 - 2¹¹ = 10101000999059 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101001001207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500500553 + 5050500500554.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500500554).

Almost surely, 2^{10101001001107} is an apocalyptic number.

10101001001107 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101001001107 is an equidigital number, since it uses as much as digits as its factorization.

10101001001107 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 10101001001107 its reverse (70110010010101), we get a palindrome (80211011011208).

The spelling of 10101001001107 in words is "ten trillion, one hundred one billion, one million, one thousand, one hundred seven".