102002020000010 has 96 divisors (see below), whose sum is σ = 210050338806000. Its totient is φ = 35445477040128.

The previous prime is 102002020000003. The next prime is 102002020000087. The reversal of 102002020000010 is 10000020200201.

It can be written as a sum of positive squares in 24 ways, for example, as 97860731929 + 101904159268081 = 312827^2 + 10094759^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1662404252 + ... + 1662465608.

Almost surely, 2^{102002020000010} is an apocalyptic number.

102002020000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102002020000010 is an abundant number, since it is smaller than the sum of its proper divisors (108048318805990).

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

102002020000010 is a wasteful number, since it uses less digits than its factorization.

102002020000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105660 (or 105643 counting only the distinct ones).

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

Adding to 102002020000010 its reverse (10000020200201), we get a palindrome (112002040200211).

The spelling of 102002020000010 in words is "one hundred two trillion, two billion, twenty million, ten", and thus it is an aban number.