101123120033 has 48 divisors (see below), whose sum is σ = 113683406400. Its totient is φ = 89861840640.

The previous prime is 101123120027. The next prime is 101123120047. The reversal of 101123120033 is 330021321101.

It is not a de Polignac number, because 101123120033 - 2⁴ = 101123120017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101123119993 and 101123120020.

It is not an unprimeable number, because it can be changed into a prime (101123120053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152984723 + ... + 152985383.

It is an arithmetic number, because the mean of its divisors is an integer number (2368404300).

Almost surely, 2^101123120033 is an apocalyptic number.

101123120033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101123120033 is a deficient number, since it is larger than the sum of its proper divisors (12560286367).

101123120033 is a wasteful number, since it uses less digits than its factorization.

101123120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101123120033 its reverse (330021321101), we get a palindrome (431144441134).

The spelling of 101123120033 in words is "one hundred one billion, one hundred twenty-three million, one hundred twenty thousand, thirty-three".