100310012220033 has 80 divisors (see below), whose sum is σ = 189185584220160. Its totient is φ = 51449488178400.

The previous prime is 100310012220029. The next prime is 100310012220043. The reversal of 100310012220033 is 330022210013001.

100310012220033 is a `hidden beast` number, since 1 + 0 + 0 + 310 + 0 + 122 + 200 + 33 = 666.

It is not a de Polignac number, because 100310012220033 - 2² = 100310012220029 is a prime.

It is a super-3 number, since 3×100310012220033³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100310012219988 and 100310012220015.

It is not an unprimeable number, because it can be changed into a prime (100310012220043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 101298763 + ... + 102284208.

It is an arithmetic number, because the mean of its divisors is an integer number (2364819802752).

Almost surely, 2^{100310012220033} is an apocalyptic number.

It is an amenable number.

100310012220033 is a deficient number, since it is larger than the sum of its proper divisors (88875572000127).

100310012220033 is a wasteful number, since it uses less digits than its factorization.

100310012220033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203583080 (or 203583071 counting only the distinct ones).

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

Adding to 100310012220033 its reverse (330022210013001), we get a palindrome (430332222233034).

The spelling of 100310012220033 in words is "one hundred trillion, three hundred ten billion, twelve million, two hundred twenty thousand, thirty-three".