102002120 has 32 divisors (see below), whose sum is σ = 250369920. Its totient is φ = 37091520.

The previous prime is 102002119. The next prime is 102002129. The reversal of 102002120 is 21200201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 102002098 and 102002107.

It is not an unprimeable number, because it can be changed into a prime (102002129) 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, 115472 + ... + 116351.

It is an arithmetic number, because the mean of its divisors is an integer number (7824060).

Almost surely, 2^102002120 is an apocalyptic number.

102002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002120 is an abundant number, since it is smaller than the sum of its proper divisors (148367800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102002120 is a wasteful number, since it uses less digits than its factorization.

102002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231845 (or 231841 counting only the distinct ones).

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

The square root of 102002120 is about 10099.6098934563. The cubic root of 102002120 is about 467.2361098513.

Adding to 102002120 its reverse (21200201), we get a palindrome (123202321).

The spelling of 102002120 in words is "one hundred two million, two thousand, one hundred twenty".