1023032100200 has 192 divisors, whose sum is σ = 2613054539520. Its totient is φ = 369401472000.

The previous prime is 1023032100199. The next prime is 1023032100317. The reversal of 1023032100200 is 20012303201.

It is a happy number.

1023032100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188992694 + ... + 188998106.

It is an arithmetic number, because the mean of its divisors is an integer number (13609659060).

Almost surely, 2^{1023032100200} is an apocalyptic number.

1023032100200 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 1023032100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306527269760).

1023032100200 is an abundant number, since it is smaller than the sum of its proper divisors (1590022439320).

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

1023032100200 is a wasteful number, since it uses less digits than its factorization.

1023032100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6028 (or 6019 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1023032100200 its reverse (20012303201), we get a palindrome (1043044403401).

The spelling of 1023032100200 in words is "one trillion, twenty-three billion, thirty-two million, one hundred thousand, two hundred".