101131101 has 24 divisors (see below), whose sum is σ = 151875360. Its totient is φ = 64790496.

The previous prime is 101131099. The next prime is 101131153.

101131101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101131101 - 2¹ = 101131099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25810 + ... + 29468.

It is an arithmetic number, because the mean of its divisors is an integer number (6328140).

Almost surely, 2^101131101 is an apocalyptic number.

It is an amenable number.

101131101 is a deficient number, since it is larger than the sum of its proper divisors (50744259).

101131101 is a wasteful number, since it uses less digits than its factorization.

101131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 101131101 is about 10056.3960244215. The cubic root of 101131101 is about 465.9023615487.

The spelling of 101131101 in words is "one hundred one million, one hundred thirty-one thousand, one hundred one".