2223101010033 has 24 divisors (see below), whose sum is σ = 3455775162216. Its totient is φ = 1372019904000.

The previous prime is 2223101010029. The next prime is 2223101010059. The reversal of 2223101010033 is 3300101013222.

2223101010033 is a `hidden beast` number, since 222 + 310 + 1 + 0 + 100 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 453182083344 + 1769918926689 = 673188^2 + 1330383^2 .

It is not a de Polignac number, because 2223101010033 - 2² = 2223101010029 is a prime.

It is a super-2 number, since 2×2223101010033² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2223101009988 and 2223101010015.

It is not an unprimeable number, because it can be changed into a prime (2223101010733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119089618 + ... + 119108283.

It is an arithmetic number, because the mean of its divisors is an integer number (143990631759).

Almost surely, 2^{2223101010033} is an apocalyptic number.

It is an amenable number.

2223101010033 is a deficient number, since it is larger than the sum of its proper divisors (1232674152183).

2223101010033 is a wasteful number, since it uses less digits than its factorization.

2223101010033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238197985 (or 238197982 counting only the distinct ones).

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

Adding to 2223101010033 its reverse (3300101013222), we get a palindrome (5523202023255).

The spelling of 2223101010033 in words is "two trillion, two hundred twenty-three billion, one hundred one million, ten thousand, thirty-three".