10001133202120 has 16 divisors (see below), whose sum is σ = 22502549704860. Its totient is φ = 4000453280832.

The previous prime is 10001133202111. The next prime is 10001133202127. The reversal of 10001133202120 is 2120233110001.

10001133202120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8714646435364 + 1286486766756 = 2952058^2 + 1134234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10001133202094 and 10001133202103.

It is not an unprimeable number, because it can be changed into a prime (10001133202127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125014164987 + ... + 125014165066.

Almost surely, 2^{10001133202120} is an apocalyptic number.

10001133202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001133202120 is an abundant number, since it is smaller than the sum of its proper divisors (12501416502740).

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

10001133202120 is a wasteful number, since it uses less digits than its factorization.

10001133202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250028330064 (or 250028330060 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10001133202120 its reverse (2120233110001), we get a palindrome (12121366312121).

The spelling of 10001133202120 in words is "ten trillion, one billion, one hundred thirty-three million, two hundred two thousand, one hundred twenty".