102002001210300 has 144 divisors (see below), whose sum is σ = 302655715794432. Its totient is φ = 26511334118400.

The previous prime is 102002001210283. The next prime is 102002001210311. The reversal of 102002001210300 is 3012100200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11610582 + ... + 18406781.

It is an arithmetic number, because the mean of its divisors is an integer number (2101775804128).

Almost surely, 2^{102002001210300} is an apocalyptic number.

102002001210300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002001210300 is an abundant number, since it is smaller than the sum of its proper divisors (200653714584132).

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

102002001210300 is a wasteful number, since it uses less digits than its factorization.

102002001210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30017668 (or 30017661 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102002001210300 its reverse (3012100200201), we get a palindrome (105014101410501).

The spelling of 102002001210300 in words is "one hundred two trillion, two billion, one million, two hundred ten thousand, three hundred".