101000001101107 has 2 divisors, whose sum is σ = 101000001101108. Its totient is φ = 101000001101106.

The previous prime is 101000001101099. The next prime is 101000001101113. The reversal of 101000001101107 is 701101100000101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101000001101107 - 2³ = 101000001101099 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000001141107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500000550553 + 50500000550554.

It is an arithmetic number, because the mean of its divisors is an integer number (50500000550554).

Almost surely, 2^{101000001101107} is an apocalyptic number.

101000001101107 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000001101107 is an equidigital number, since it uses as much as digits as its factorization.

101000001101107 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 101000001101107 its reverse (701101100000101), we get a palindrome (802101101101208).

The spelling of 101000001101107 in words is "one hundred one trillion, one million, one hundred one thousand, one hundred seven".