102300033000 has 256 divisors, whose sum is σ = 368676023040. Its totient is φ = 23341056000.

The previous prime is 102300032977. The next prime is 102300033023. The reversal of 102300033000 is 330003201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102300032977) and next prime (102300033023).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469824 + ... + 652176.

It is an arithmetic number, because the mean of its divisors is an integer number (1440140715).

Almost surely, 2^102300033000 is an apocalyptic number.

102300033000 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 102300033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184338011520).

102300033000 is an abundant number, since it is smaller than the sum of its proper divisors (266375990040).

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

102300033000 is a wasteful number, since it uses less digits than its factorization.

102300033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182405 (or 182391 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 102300033000 its reverse (330003201), we get a palindrome (102630036201).

The spelling of 102300033000 in words is "one hundred two billion, three hundred million, thirty-three thousand".