101040711 has 16 divisors (see below), whose sum is σ = 136746720. Its totient is φ = 66355200.

The previous prime is 101040701. The next prime is 101040713. The reversal of 101040711 is 117040101.

It is not a de Polignac number, because 101040711 - 2¹⁴ = 101024327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101040713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62311 + ... + 63911.

It is an arithmetic number, because the mean of its divisors is an integer number (8546670).

Almost surely, 2^101040711 is an apocalyptic number.

101040711 is a deficient number, since it is larger than the sum of its proper divisors (35706009).

101040711 is a wasteful number, since it uses less digits than its factorization.

101040711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906.

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 101040711 is about 10051.9008650106. The cubic root of 101040711 is about 465.7635138320.

Adding to 101040711 its reverse (117040101), we get a palindrome (218080812).

The spelling of 101040711 in words is "one hundred one million, forty thousand, seven hundred eleven".