102002110120 has 16 divisors (see below), whose sum is σ = 229504747860. Its totient is φ = 40800844032.

The previous prime is 102002110103. The next prime is 102002110121. The reversal of 102002110120 is 21011200201.

It can be written as a sum of positive squares in 2 ways, for example, as 83499037444 + 18503072676 = 288962^2 + 136026^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102002110097 and 102002110106.

It is not an unprimeable number, because it can be changed into a prime (102002110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1275026337 + ... + 1275026416.

Almost surely, 2^102002110120 is an apocalyptic number.

102002110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002110120 is an abundant number, since it is smaller than the sum of its proper divisors (127502637740).

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

102002110120 is a wasteful number, since it uses less digits than its factorization.

102002110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550052764 (or 2550052760 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102002110120 its reverse (21011200201), we get a palindrome (123013310321).

The spelling of 102002110120 in words is "one hundred two billion, two million, one hundred ten thousand, one hundred twenty".