100000000101107 has 2 divisors, whose sum is σ = 100000000101108. Its totient is φ = 100000000101106.

The previous prime is 100000000101097. The next prime is 100000000101179. The reversal of 100000000101107 is 701101000000001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100000000101107 - 2⁸ = 100000000100851 is a prime.

It is not a weakly prime, because it can be changed into another prime (100000000104107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000000050553 + 50000000050554.

It is an arithmetic number, because the mean of its divisors is an integer number (50000000050554).

Almost surely, 2^{100000000101107} is an apocalyptic number.

100000000101107 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000000101107 is an equidigital number, since it uses as much as digits as its factorization.

100000000101107 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 11.

Adding to 100000000101107 its reverse (701101000000001), we get a palindrome (801101000101108).

The spelling of 100000000101107 in words is "one hundred trillion, one hundred one thousand, one hundred seven".