61101 has 16 divisors (see below), whose sum is σ = 94720. Its totient is φ = 38880.

The previous prime is 61099. The next prime is 61121. The reversal of 61101 is 10116.

It is not a de Polignac number, because 61101 - 2¹ = 61099 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

61101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61121) 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, 801 + ... + 873.

It is an arithmetic number, because the mean of its divisors is an integer number (5920).

2⁶¹¹⁰¹ is an apocalyptic number.

It is an amenable number.

61101 is a deficient number, since it is larger than the sum of its proper divisors (33619).

61101 is a wasteful number, since it uses less digits than its factorization.

61101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 61101 is about 247.1861646614. The cubic root of 61101 is about 39.3866858739.

Adding to 61101 its reverse (10116), we get a palindrome (71217).

The spelling of 61101 in words is "sixty-one thousand, one hundred one".