1010100111107 has 2 divisors, whose sum is σ = 1010100111108. Its totient is φ = 1010100111106.

The previous prime is 1010100111091. The next prime is 1010100111133. The reversal of 1010100111107 is 7011110010101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1010100111107 - 2⁴ = 1010100111091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010100111091 and 1010100111100.

It is not a weakly prime, because it can be changed into another prime (1010100111187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050055553 + 505050055554.

It is an arithmetic number, because the mean of its divisors is an integer number (505050055554).

Almost surely, 2^{1010100111107} is an apocalyptic number.

1010100111107 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100111107 is an equidigital number, since it uses as much as digits as its factorization.

1010100111107 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 14.

Adding to 1010100111107 its reverse (7011110010101), we get a palindrome (8021210121208).

The spelling of 1010100111107 in words is "one trillion, ten billion, one hundred million, one hundred eleven thousand, one hundred seven".