100101111111107 has 2 divisors, whose sum is σ = 100101111111108. Its totient is φ = 100101111111106.

The previous prime is 100101111111061. The next prime is 100101111111137. The reversal of 100101111111107 is 701111111101001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100101111111107 - 2²⁰ = 100101110062531 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101111111137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050555555553 + 50050555555554.

It is an arithmetic number, because the mean of its divisors is an integer number (50050555555554).

Almost surely, 2^{100101111111107} is an apocalyptic number.

100101111111107 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101111111107 is an equidigital number, since it uses as much as digits as its factorization.

100101111111107 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 17.

Adding to 100101111111107 its reverse (701111111101001), we get a palindrome (801212222212108).

The spelling of 100101111111107 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, one hundred seven".