10001133202122 has 48 divisors (see below), whose sum is σ = 22972930186752. Its totient is φ = 3133623542400.

The previous prime is 10001133202111. The next prime is 10001133202127. The reversal of 10001133202122 is 22120233110001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10001133202095 and 10001133202104.

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

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20523754 + ... + 21005397.

It is an arithmetic number, because the mean of its divisors is an integer number (478602712224).

Almost surely, 2^{10001133202122} is an apocalyptic number.

10001133202122 is an abundant number, since it is smaller than the sum of its proper divisors (12971796984630).

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

10001133202122 is a wasteful number, since it uses less digits than its factorization.

10001133202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41529963 (or 41529960 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10001133202122 its reverse (22120233110001), we get a palindrome (32121366312123).

The spelling of 10001133202122 in words is "ten trillion, one billion, one hundred thirty-three million, two hundred two thousand, one hundred twenty-two".