1032000203100 has 288 divisors, whose sum is σ = 3307372689600. Its totient is φ = 247267328000.

The previous prime is 1032000203051. The next prime is 1032000203119. The reversal of 1032000203100 is 13020002301.

It is a happy number.

It is a super-2 number, since 2×1032000203100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13123900 + ... + 13202300.

It is an arithmetic number, because the mean of its divisors is an integer number (11483932950).

Almost surely, 2^{1032000203100} is an apocalyptic number.

1032000203100 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 1032000203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653686344800).

1032000203100 is an abundant number, since it is smaller than the sum of its proper divisors (2275372486500).

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

1032000203100 is a wasteful number, since it uses less digits than its factorization.

1032000203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78553 (or 78546 counting only the distinct ones).

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

Adding to 1032000203100 its reverse (13020002301), we get a palindrome (1045020205401).

The spelling of 1032000203100 in words is "one trillion, thirty-two billion, two hundred three thousand, one hundred".