103223332002000 has 640 divisors, whose sum is σ = 403262269562880. Its totient is φ = 22175371468800.

The previous prime is 103223332001957. The next prime is 103223332002013. The reversal of 103223332002000 is 200233322301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 518978571 + ... + 519177429.

It is an arithmetic number, because the mean of its divisors is an integer number (630097296192).

Almost surely, 2^{103223332002000} is an apocalyptic number.

103223332002000 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 103223332002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201631134781440).

103223332002000 is an abundant number, since it is smaller than the sum of its proper divisors (300038937560880).

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

103223332002000 is a wasteful number, since it uses less digits than its factorization.

103223332002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199636 (or 199620 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 103223332002000 its reverse (200233322301), we get a palindrome (103423565324301).

The spelling of 103223332002000 in words is "one hundred three trillion, two hundred twenty-three billion, three hundred thirty-two million, two thousand".