1010100101107 has 2 divisors, whose sum is σ = 1010100101108. Its totient is φ = 1010100101106.

The previous prime is 1010100101057. The next prime is 1010100101117. The reversal of 1010100101107 is 7011010010101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1010100101107 - 2⁷ = 1010100100979 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010100101117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050050553 + 505050050554.

It is an arithmetic number, because the mean of its divisors is an integer number (505050050554).

Almost surely, 2^{1010100101107} is an apocalyptic number.

1010100101107 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100101107 is an equidigital number, since it uses as much as digits as its factorization.

1010100101107 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 1010100101107 its reverse (7011010010101), we get a palindrome (8021110111208).

The spelling of 1010100101107 in words is "one trillion, ten billion, one hundred million, one hundred one thousand, one hundred seven".