1032002022100 has 288 divisors, whose sum is σ = 2859019511040. Its totient is φ = 314772480000.

The previous prime is 1032002022089. The next prime is 1032002022101. The reversal of 1032002022100 is 12202002301.

It is a super-3 number, since 3×1032002022100³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032002022101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104227150 + ... + 104237050.

It is an arithmetic number, because the mean of its divisors is an integer number (9927151080).

Almost surely, 2^{1032002022100} is an apocalyptic number.

1032002022100 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 1032002022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429509755520).

1032002022100 is an abundant number, since it is smaller than the sum of its proper divisors (1827017488940).

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

1032002022100 is a wasteful number, since it uses less digits than its factorization.

1032002022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10419 (or 10412 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 1032002022100 its reverse (12202002301), we get a palindrome (1044204024401).

The spelling of 1032002022100 in words is "one trillion, thirty-two billion, two million, twenty-two thousand, one hundred".