102111 has 8 divisors (see below), whose sum is σ = 137904. Its totient is φ = 67200.

The previous prime is 102107. The next prime is 102121. The reversal of 102111 is 111201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102111 - 2² = 102107 is a prime.

102111 is a modest number, since divided by 111 gives 102 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 102111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (17238).

2¹⁰²¹¹¹ is an apocalyptic number.

102111 is a deficient number, since it is larger than the sum of its proper divisors (35793).

102111 is a wasteful number, since it uses less digits than its factorization.

102111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 102111 is about 319.5481184423. The cubic root of 102111 is about 46.7402297827.

Adding to 102111 its reverse (111201), we get a palindrome (213312).

Multiplying 102111 by its reverse (111201), we get a palindrome (11354845311).

The spelling of 102111 in words is "one hundred two thousand, one hundred eleven", and thus it is an iban number.