102012033000 has 128 divisors (see below), whose sum is σ = 318453408000. Its totient is φ = 27188179200.

The previous prime is 102012032977. The next prime is 102012033017. The reversal of 102012033000 is 330210201.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6078621 + ... + 6095379.

It is an arithmetic number, because the mean of its divisors is an integer number (2487917250).

Almost surely, 2^102012033000 is an apocalyptic number.

102012033000 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 102012033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159226704000).

102012033000 is an abundant number, since it is smaller than the sum of its proper divisors (216441375000).

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

102012033000 is a wasteful number, since it uses less digits than its factorization.

102012033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18812 (or 18798 counting only the distinct ones).

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

Adding to 102012033000 its reverse (330210201), we get a palindrome (102342243201).

The spelling of 102012033000 in words is "one hundred two billion, twelve million, thirty-three thousand".