1032002030100 has 288 divisors, whose sum is σ = 3111013382400. Its totient is φ = 263815372800.

The previous prime is 1032002030069. The next prime is 1032002030161. The reversal of 1032002030100 is 10302002301.

It is a happy number.

It is a super-3 number, since 3×1032002030100³ (a number of 37 digits) contains 333 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, 1067219817 + ... + 1067220783.

It is an arithmetic number, because the mean of its divisors is an integer number (10802129800).

Almost surely, 2^{1032002030100} is an apocalyptic number.

1032002030100 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 1032002030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555506691200).

1032002030100 is an abundant number, since it is smaller than the sum of its proper divisors (2079011352300).

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

1032002030100 is a wasteful number, since it uses less digits than its factorization.

1032002030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1756 counting only the distinct ones).

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

Adding to 1032002030100 its reverse (10302002301), we get a palindrome (1042304032401).

The spelling of 1032002030100 in words is "one trillion, thirty-two billion, two million, thirty thousand, one hundred".