102010 has 12 divisors (see below), whose sum is σ = 185454. Its totient is φ = 40400.

The previous prime is 102001. The next prime is 102013. The reversal of 102010 is 10201.

It can be written as a sum of positive squares in 3 ways, for example, as 100489 + 1521 = 317^2 + 39^2 .

It is not an unprimeable number, because it can be changed into a prime (102013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 960 + ... + 1060.

2¹⁰²⁰¹⁰ is an apocalyptic number.

102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102010 is a deficient number, since it is larger than the sum of its proper divisors (83444).

102010 is an equidigital number, since it uses as much as digits as its factorization.

102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 102010 is about 319.3900436770. The cubic root of 102010 is about 46.7248141385.

Adding to 102010 its reverse (10201), we get a palindrome (112211).

Subtracting from 102010 its reverse (10201), we obtain a square (91809 = 303²).

It can be divided in two parts, 10 and 2010, that multiplied together give a triangular number (20100 = T₂₀₀).

The spelling of 102010 in words is "one hundred two thousand, ten", and thus it is an iban number.