102133123011 has 24 divisors (see below), whose sum is σ = 148885051536. Its totient is φ = 67461757440.

The previous prime is 102133123009. The next prime is 102133123031. The reversal of 102133123011 is 110321331201.

102133123011 is a `hidden beast` number, since 10 + 21 + 331 + 2 + 301 + 1 = 666.

It is not a de Polignac number, because 102133123011 - 2¹ = 102133123009 is a prime.

It is a super-2 number, since 2×102133123011² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102133123031) 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 23 ways as a sum of consecutive naturals, for example, 3045511 + ... + 3078863.

It is an arithmetic number, because the mean of its divisors is an integer number (6203543814).

Almost surely, 2^102133123011 is an apocalyptic number.

102133123011 is a deficient number, since it is larger than the sum of its proper divisors (46751928525).

102133123011 is a wasteful number, since it uses less digits than its factorization.

102133123011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36483 (or 36480 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102133123011 its reverse (110321331201), we get a palindrome (212454454212).

The spelling of 102133123011 in words is "one hundred two billion, one hundred thirty-three million, one hundred twenty-three thousand, eleven".