102133331001 has 20 divisors (see below), whose sum is σ = 164305664292. Its totient is φ = 62851279968.

The previous prime is 102133330991. The next prime is 102133331009. The reversal of 102133331001 is 100133331201.

It is a happy number.

102133331001 is a `hidden beast` number, since 1 + 0 + 21 + 333 + 310 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23309960976 + 78823370025 = 152676^2 + 280755^2 .

It is not a de Polignac number, because 102133331001 - 2¹¹ = 102133328953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102133331009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48495306 + ... + 48497411.

Almost surely, 2^102133331001 is an apocalyptic number.

It is an amenable number.

102133331001 is a deficient number, since it is larger than the sum of its proper divisors (62172333291).

102133331001 is an equidigital number, since it uses as much as digits as its factorization.

102133331001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96992742 (or 96992733 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 102133331001 its reverse (100133331201), we get a palindrome (202266662202).

The spelling of 102133331001 in words is "one hundred two billion, one hundred thirty-three million, three hundred thirty-one thousand, one".