10132100033202 has 144 divisors (see below), whose sum is σ = 27045613852920. Its totient is φ = 2723952623616.

The previous prime is 10132100033161. The next prime is 10132100033221. The reversal of 10132100033202 is 20233000123101.

10132100033202 is a `hidden beast` number, since 10 + 1 + 321 + 0 + 0 + 0 + 332 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3813306767361 + 6318793265841 = 1952769^2 + 2513721^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 64951074 + ... + 65106882.

Almost surely, 2^{10132100033202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132100033202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13522806926460).

10132100033202 is an abundant number, since it is smaller than the sum of its proper divisors (16913513819718).

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

10132100033202 is a wasteful number, since it uses less digits than its factorization.

10132100033202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160185 (or 160175 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10132100033202 its reverse (20233000123101), we get a palindrome (30365100156303).

The spelling of 10132100033202 in words is "ten trillion, one hundred thirty-two billion, one hundred million, thirty-three thousand, two hundred two".