100010101101107 has 2 divisors, whose sum is σ = 100010101101108. Its totient is φ = 100010101101106.

The previous prime is 100010101101091. The next prime is 100010101101133. The reversal of 100010101101107 is 701101101010001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100010101101107 - 2⁴ = 100010101101091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010101101091 and 100010101101100.

It is not a weakly prime, because it can be changed into another prime (100010101101907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005050550553 + 50005050550554.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050550554).

Almost surely, 2^{100010101101107} is an apocalyptic number.

100010101101107 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010101101107 is an equidigital number, since it uses as much as digits as its factorization.

100010101101107 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 100010101101107 its reverse (701101101010001), we get a palindrome (801111202111108).

The spelling of 100010101101107 in words is "one hundred trillion, ten billion, one hundred one million, one hundred one thousand, one hundred seven".