102012003000 has 192 divisors, whose sum is σ = 350646472800. Its totient is φ = 26741990400.

The previous prime is 102012002999. The next prime is 102012003001. The reversal of 102012003000 is 300210201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102012002999) and next prime (102012003001).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012003001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 434944 + ... + 627056.

Almost surely, 2^102012003000 is an apocalyptic number.

102012003000 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 102012003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175323236400).

102012003000 is an abundant number, since it is smaller than the sum of its proper divisors (248634469800).

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

102012003000 is a wasteful number, since it uses less digits than its factorization.

102012003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192199 (or 192182 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 102012003000 its reverse (300210201), we get a palindrome (102312213201).

The spelling of 102012003000 in words is "one hundred two billion, twelve million, three thousand".