101112104234233 has 8 divisors (see below), whose sum is σ = 101451801610952. Its totient is φ = 100772641541376.

The previous prime is 101112104234171. The next prime is 101112104234261. The reversal of 101112104234233 is 332432401211101.

It can be written as a sum of positive squares in 4 ways, for example, as 4786280691049 + 96325823543184 = 2187757^2 + 9814572^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101112104234233 - 2¹³ = 101112104226041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112104204233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57807810 + ... + 59531227.

It is an arithmetic number, because the mean of its divisors is an integer number (12681475201369).

Almost surely, 2^{101112104234233} is an apocalyptic number.

It is an amenable number.

101112104234233 is a deficient number, since it is larger than the sum of its proper divisors (339697376719).

101112104234233 is a wasteful number, since it uses less digits than its factorization.

101112104234233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117341931.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 101112104234233 its reverse (332432401211101), we get a palindrome (433544505445334).

The spelling of 101112104234233 in words is "one hundred one trillion, one hundred twelve billion, one hundred four million, two hundred thirty-four thousand, two hundred thirty-three".