101404116033 has 16 divisors (see below), whose sum is σ = 148875376896. Its totient is φ = 60882673040.

The previous prime is 101404116031. The next prime is 101404116067. The reversal of 101404116033 is 330611404101.

It is a cyclic number.

It is not a de Polignac number, because 101404116033 - 2¹ = 101404116031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101404115994 and 101404116012.

It is not an unprimeable number, because it can be changed into a prime (101404116031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14355591 + ... + 14362652.

It is an arithmetic number, because the mean of its divisors is an integer number (9304711056).

Almost surely, 2^101404116033 is an apocalyptic number.

It is an amenable number.

101404116033 is a deficient number, since it is larger than the sum of its proper divisors (47471260863).

101404116033 is a wasteful number, since it uses less digits than its factorization.

101404116033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28718364.

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 101404116033 in words is "one hundred one billion, four hundred four million, one hundred sixteen thousand, thirty-three".