102002121 has 24 divisors (see below), whose sum is σ = 163794176. Its totient is φ = 60743520.

The previous prime is 102002119. The next prime is 102002129. The reversal of 102002121 is 121200201.

It is not a de Polignac number, because 102002121 - 2¹ = 102002119 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102002129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10435 + ... + 17688.

Almost surely, 2^102002121 is an apocalyptic number.

It is an amenable number.

102002121 is a deficient number, since it is larger than the sum of its proper divisors (61792055).

102002121 is a wasteful number, since it uses less digits than its factorization.

102002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28173 (or 28170 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102002121 is about 10099.6099429631. The cubic root of 102002121 is about 467.2361113782.

Adding to 102002121 its reverse (121200201), we get a palindrome (223202322).

It can be divided in two parts, 10200 and 2121, that added together give a palindrome (12321).

The spelling of 102002121 in words is "one hundred two million, two thousand, one hundred twenty-one".