101108009101 has 12 divisors (see below), whose sum is σ = 111145271356. Its totient is φ = 91908083520.

The previous prime is 101108009083. The next prime is 101108009113. The reversal of 101108009101 is 101900801101.

It can be written as a sum of positive squares in 2 ways, for example, as 43524807876 + 57583201225 = 208626^2 + 239965^2 .

It is not a de Polignac number, because 101108009101 - 2⁷ = 101108008973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101108009701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1604155 + ... + 1665991.

Almost surely, 2^101108009101 is an apocalyptic number.

101108009101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101108009101 is a deficient number, since it is larger than the sum of its proper divisors (10037262255).

101108009101 is a wasteful number, since it uses less digits than its factorization.

101108009101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75372 (or 75361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 101108009101 in words is "one hundred one billion, one hundred eight million, nine thousand, one hundred one".