102033123021 has 18 divisors (see below), whose sum is σ = 156560632202. Its totient is φ = 64020781440.

The previous prime is 102033122993. The next prime is 102033123047. The reversal of 102033123021 is 120321330201.

102033123021 is a `hidden beast` number, since 10 + 20 + 331 + 2 + 302 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 43020567396 + 59012555625 = 207414^2 + 242925^2 .

It is not a de Polignac number, because 102033123021 - 2⁶ = 102033122957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102033122985 and 102033123003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102033123121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19611610 + ... + 19616811.

Almost surely, 2^102033123021 is an apocalyptic number.

It is an amenable number.

102033123021 is a deficient number, since it is larger than the sum of its proper divisors (54527509181).

102033123021 is a wasteful number, since it uses less digits than its factorization.

102033123021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39228461 (or 39228441 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102033123021 its reverse (120321330201), we get a palindrome (222354453222).

The spelling of 102033123021 in words is "one hundred two billion, thirty-three million, one hundred twenty-three thousand, twenty-one".