102003302100 has 288 divisors, whose sum is σ = 348793675776. Its totient is φ = 22522636800.

The previous prime is 102003302087. The next prime is 102003302113. The reversal of 102003302100 is 1203300201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102003302087) and next prime (102003302113).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50321287 + ... + 50323313.

It is an arithmetic number, because the mean of its divisors is an integer number (1211089152).

Almost surely, 2^102003302100 is an apocalyptic number.

102003302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102003302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174396837888).

102003302100 is an abundant number, since it is smaller than the sum of its proper divisors (246790373676).

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

102003302100 is a wasteful number, since it uses less digits than its factorization.

102003302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102003302100 its reverse (1203300201), we get a palindrome (103206602301).

The spelling of 102003302100 in words is "one hundred two billion, three million, three hundred two thousand, one hundred".