34001222100233 has 16 divisors (see below), whose sum is σ = 36402931671120. Its totient is φ = 31644692054016.

The previous prime is 34001222100229. The next prime is 34001222100253. The reversal of 34001222100233 is 33200122210043.

It can be written as a sum of positive squares in 8 ways, for example, as 35964467449 + 33965257632784 = 189643^2 + 5827972^2 .

It is a cyclic number.

It is not a de Polignac number, because 34001222100233 - 2² = 34001222100229 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34001222100199 and 34001222100208.

It is not an unprimeable number, because it can be changed into a prime (34001222100203) 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 15 ways as a sum of consecutive naturals, for example, 6674528 + ... + 10609041.

It is an arithmetic number, because the mean of its divisors is an integer number (2275183229445).

Almost surely, 2^{34001222100233} is an apocalyptic number.

It is an amenable number.

34001222100233 is a deficient number, since it is larger than the sum of its proper divisors (2401709570887).

34001222100233 is a wasteful number, since it uses less digits than its factorization.

34001222100233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17284876.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 34001222100233 its reverse (33200122210043), we get a palindrome (67201344310276).

The spelling of 34001222100233 in words is "thirty-four trillion, one billion, two hundred twenty-two million, one hundred thousand, two hundred thirty-three".