101100312033 has 16 divisors (see below), whose sum is σ = 154111073280. Its totient is φ = 57751561296.

The previous prime is 101100312011. The next prime is 101100312073. The reversal of 101100312033 is 330213001101.

It is not a de Polignac number, because 101100312033 - 2¹³ = 101100303841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100312073) 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 15 ways as a sum of consecutive naturals, for example, 773163 + ... + 894416.

It is an arithmetic number, because the mean of its divisors is an integer number (9631942080).

Almost surely, 2^101100312033 is an apocalyptic number.

It is an amenable number.

101100312033 is a deficient number, since it is larger than the sum of its proper divisors (53010761247).

101100312033 is a wasteful number, since it uses less digits than its factorization.

101100312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670476.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101100312033 its reverse (330213001101), we get a palindrome (431313313134).

The spelling of 101100312033 in words is "one hundred one billion, one hundred million, three hundred twelve thousand, thirty-three".