101541 has 16 divisors (see below), whose sum is σ = 157248. Its totient is φ = 57600.

The previous prime is 101537. The next prime is 101561. The reversal of 101541 is 145101.

It is a happy number.

It is not a de Polignac number, because 101541 - 2² = 101537 is a prime.

101541 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471 + ... + 651.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2¹⁰¹⁵⁴¹ is an apocalyptic number.

101541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101541 is a deficient number, since it is larger than the sum of its proper divisors (55707).

101541 is a wasteful number, since it uses less digits than its factorization.

101541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212.

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 101541 is about 318.6549858389. The cubic root of 101541 is about 46.6530969616.

Adding to 101541 its reverse (145101), we get a palindrome (246642).

It can be divided in two parts, 10 and 1541, that added together give a palindrome (1551).

The spelling of 101541 in words is "one hundred one thousand, five hundred forty-one".