101911 has 4 divisors (see below), whose sum is σ = 102592. Its totient is φ = 101232.

The previous prime is 101891. The next prime is 101917. The reversal of 101911 is 119101.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 101911 - 2⁵ = 101879 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101891 and 101900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101917) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6 + ... + 451.

It is an arithmetic number, because the mean of its divisors is an integer number (25648).

2¹⁰¹⁹¹¹ is an apocalyptic number.

101911 is a deficient number, since it is larger than the sum of its proper divisors (681).

101911 is an equidigital number, since it uses as much as digits as its factorization.

101911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 101911 is about 319.2350231413. The cubic root of 101911 is about 46.7096938763.

It can be divided in two parts, 10 and 1911, that multiplied together give a triangular number (19110 = T₁₉₅).

The spelling of 101911 in words is "one hundred one thousand, nine hundred eleven".