102002234000 has 80 divisors (see below), whose sum is σ = 246755139696. Its totient is φ = 40782080000.

The previous prime is 102002233979. The next prime is 102002234029. The reversal of 102002234000 is 432200201.

102002234000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 18201247744 + 83800986256 = 134912^2 + 289484^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4823450 + ... + 4844550.

Almost surely, 2^102002234000 is an apocalyptic number.

102002234000 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 102002234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123377569848).

102002234000 is an abundant number, since it is smaller than the sum of its proper divisors (144752905696).

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

102002234000 is a wasteful number, since it uses less digits than its factorization.

102002234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23541 (or 23525 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 102002234000 its reverse (432200201), we get a palindrome (102434434201).

The spelling of 102002234000 in words is "one hundred two billion, two million, two hundred thirty-four thousand".