101100141 has 12 divisors (see below), whose sum is σ = 146120832. Its totient is φ = 67359816.

The previous prime is 101100133. The next prime is 101100143. The reversal of 101100141 is 141001101.

It is not a de Polignac number, because 101100141 - 2³ = 101100133 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 (101100143) 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 11 ways as a sum of consecutive naturals, for example, 26730 + ... + 30276.

It is an arithmetic number, because the mean of its divisors is an integer number (12176736).

Almost surely, 2^101100141 is an apocalyptic number.

It is an amenable number.

101100141 is a deficient number, since it is larger than the sum of its proper divisors (45020691).

101100141 is a wasteful number, since it uses less digits than its factorization.

101100141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6720 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 101100141 is about 10054.8565877391. The cubic root of 101100141 is about 465.8548133360.

Adding to 101100141 its reverse (141001101), we get a palindrome (242101242).

The spelling of 101100141 in words is "one hundred one million, one hundred thousand, one hundred forty-one".