100010331120033 has 16 divisors (see below), whose sum is σ = 148237646607360. Its totient is φ = 66640167186768.

The previous prime is 100010331119983. The next prime is 100010331120121. The reversal of 100010331120033 is 330021133010001.

It is a happy number.

100010331120033 is a `hidden beast` number, since 100 + 0 + 1 + 0 + 331 + 1 + 200 + 33 = 666.

It is not a de Polignac number, because 100010331120033 - 2¹⁴ = 100010331103649 is a prime.

It is a super-2 number, since 2×100010331120033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100010331119988 and 100010331120015.

It is not an unprimeable number, because it can be changed into a prime (100010331110033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927358785 + ... + 927466622.

It is an arithmetic number, because the mean of its divisors is an integer number (9264852912960).

Almost surely, 2^{100010331120033} is an apocalyptic number.

It is an amenable number.

100010331120033 is a deficient number, since it is larger than the sum of its proper divisors (48227315487327).

100010331120033 is a wasteful number, since it uses less digits than its factorization.

100010331120033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854827413 (or 1854827407 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100010331120033 its reverse (330021133010001), we get a palindrome (430031464130034).

The spelling of 100010331120033 in words is "one hundred trillion, ten billion, three hundred thirty-one million, one hundred twenty thousand, thirty-three".