102003121 has 24 divisors (see below), whose sum is σ = 118981800. Its totient is φ = 87225600.

The previous prime is 102003071. The next prime is 102003127. The reversal of 102003121 is 121300201.

It can be written as a sum of positive squares in 4 ways, for example, as 698896 + 101304225 = 836^2 + 10065^2 .

It is not a de Polignac number, because 102003121 - 2¹¹ = 102001073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102003098 and 102003107.

It is not an unprimeable number, because it can be changed into a prime (102003127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143515 + ... + 144223.

It is an arithmetic number, because the mean of its divisors is an integer number (4957575).

Almost surely, 2^102003121 is an apocalyptic number.

102003121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102003121 is a deficient number, since it is larger than the sum of its proper divisors (16978679).

102003121 is a wasteful number, since it uses less digits than its factorization.

102003121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 102003121 is about 10099.6594497042. The cubic root of 102003121 is about 467.2376382568.

Adding to 102003121 its reverse (121300201), we get a palindrome (223303322).

The spelling of 102003121 in words is "one hundred two million, three thousand, one hundred twenty-one".