102000242120 has 32 divisors (see below), whose sum is σ = 262286337600. Its totient is φ = 34971511488.

The previous prime is 102000242093. The next prime is 102000242153. The reversal of 102000242120 is 21242000201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102000242095 and 102000242104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182143010 + ... + 182143569.

It is an arithmetic number, because the mean of its divisors is an integer number (8196448050).

Almost surely, 2^102000242120 is an apocalyptic number.

102000242120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000242120 is an abundant number, since it is smaller than the sum of its proper divisors (160286095480).

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

102000242120 is a wasteful number, since it uses less digits than its factorization.

102000242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364286597 (or 364286593 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102000242120 its reverse (21242000201), we get a palindrome (123242242321).

The spelling of 102000242120 in words is "one hundred two billion, two hundred forty-two thousand, one hundred twenty".