10001131322121 has 12 divisors (see below), whose sum is σ = 14447119765572. Its totient is φ = 6666940332576.

The previous prime is 10001131322069. The next prime is 10001131322159. The reversal of 10001131322121 is 12122313110001.

10001131322121 is a `hidden beast` number, since 100 + 0 + 11 + 313 + 221 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4436651344896 + 5564479977225 = 2106336^2 + 2358915^2 .

It is not a de Polignac number, because 10001131322121 - 2¹¹ = 10001131320073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001131322094 and 10001131322103.

It is not an unprimeable number, because it can be changed into a prime (10001131322521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39913906 + ... + 40163691.

It is an arithmetic number, because the mean of its divisors is an integer number (1203926647131).

Almost surely, 2^{10001131322121} is an apocalyptic number.

It is an amenable number.

10001131322121 is a deficient number, since it is larger than the sum of its proper divisors (4445988443451).

10001131322121 is a wasteful number, since it uses less digits than its factorization.

10001131322121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80091480 (or 80091477 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10001131322121 its reverse (12122313110001), we get a palindrome (22123444432122).

The spelling of 10001131322121 in words is "ten trillion, one billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred twenty-one".