102011233000 has 128 divisors (see below), whose sum is σ = 252090558720. Its totient is φ = 38559417600.

The previous prime is 102011232989. The next prime is 102011233003. The reversal of 102011233000 is 332110201.

It is not an unprimeable number, because it can be changed into a prime (102011233003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1882282 + ... + 1935718.

It is an arithmetic number, because the mean of its divisors is an integer number (1969457490).

Almost surely, 2^102011233000 is an apocalyptic number.

102011233000 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 102011233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126045279360).

102011233000 is an abundant number, since it is smaller than the sum of its proper divisors (150079325720).

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

102011233000 is a wasteful number, since it uses less digits than its factorization.

102011233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53564 (or 53550 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 102011233000 its reverse (332110201), we get a palindrome (102343343201).

The spelling of 102011233000 in words is "one hundred two billion, eleven million, two hundred thirty-three thousand".