102003213000 has 512 divisors, whose sum is σ = 365865776640. Its totient is φ = 23438131200.

The previous prime is 102003212999. The next prime is 102003213019. The reversal of 102003213000 is 312300201.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90830439 + ... + 90831561.

It is an arithmetic number, because the mean of its divisors is an integer number (714581595).

Almost surely, 2^102003213000 is an apocalyptic number.

102003213000 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 102003213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182932888320).

102003213000 is an abundant number, since it is smaller than the sum of its proper divisors (263862563640).

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

102003213000 is a wasteful number, since it uses less digits than its factorization.

102003213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1300 counting only the distinct ones).

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

Adding to 102003213000 its reverse (312300201), we get a palindrome (102315513201).

The spelling of 102003213000 in words is "one hundred two billion, three million, two hundred thirteen thousand".