1032111132100 has 36 divisors (see below), whose sum is σ = 2261856239748. Its totient is φ = 408756880000.

The previous prime is 1032111132047. The next prime is 1032111132103. The reversal of 1032111132100 is 12311112301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 37834918144 + 994276213956 = 194512^2 + 997134^2 .

It is not an unprimeable number, because it can be changed into a prime (1032111132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51084511 + ... + 51104710.

It is an arithmetic number, because the mean of its divisors is an integer number (62829339993).

Almost surely, 2^{1032111132100} is an apocalyptic number.

1032111132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032111132100 is an abundant number, since it is smaller than the sum of its proper divisors (1229745107648).

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

1032111132100 is a wasteful number, since it uses less digits than its factorization.

1032111132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102189336 (or 102189329 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1032111132100 its reverse (12311112301), we get a palindrome (1044422244401).

The spelling of 1032111132100 in words is "one trillion, thirty-two billion, one hundred eleven million, one hundred thirty-two thousand, one hundred".