102011 has 16 divisors (see below), whose sum is σ = 134400. Its totient is φ = 75168.

The previous prime is 102001. The next prime is 102013. The reversal of 102011 is 110201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102011 - 2¹⁰ = 100987 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101986 and 102004.

It is not an unprimeable number, because it can be changed into a prime (102013) 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, 1700 + ... + 1758.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2¹⁰²⁰¹¹ is an apocalyptic number.

102011 is a deficient number, since it is larger than the sum of its proper divisors (32389).

102011 is a wasteful number, since it uses less digits than its factorization.

102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 102011 is about 319.3916091572. The cubic root of 102011 is about 46.7249668185.

Adding to 102011 its reverse (110201), we get a palindrome (212212).

Multiplying 102011 by its reverse (110201), we get a palindrome (11241714211).

The spelling of 102011 in words is "one hundred two thousand, eleven", and thus it is an iban number.