101671101107 has 8 divisors (see below), whose sum is σ = 104190418176. Its totient is φ = 99181249992.

The previous prime is 101671101061. The next prime is 101671101113. The reversal of 101671101107 is 701101176101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101671101107 - 2⁸ = 101671100851 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101671101127) 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 in 7 ways as a sum of consecutive naturals, for example, 7359503 + ... + 7373304.

It is an arithmetic number, because the mean of its divisors is an integer number (13023802272).

Almost surely, 2^101671101107 is an apocalyptic number.

101671101107 is a deficient number, since it is larger than the sum of its proper divisors (2519317069).

101671101107 is a wasteful number, since it uses less digits than its factorization.

101671101107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14732977.

The product of its (nonzero) digits is 294, while the sum is 26.

Adding to 101671101107 its reverse (701101176101), we get a palindrome (802772277208).

The spelling of 101671101107 in words is "one hundred one billion, six hundred seventy-one million, one hundred one thousand, one hundred seven".