21102122133 has 64 divisors (see below), whose sum is σ = 34921728000. Its totient is φ = 12531708288.

The previous prime is 21102122131. The next prime is 21102122201. The reversal of 21102122133 is 33122120112.

It is not a de Polignac number, because 21102122133 - 2¹ = 21102122131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102122131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680985 + ... + 711297.

It is an arithmetic number, because the mean of its divisors is an integer number (545652000).

Almost surely, 2^21102122133 is an apocalyptic number.

21102122133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21102122133 is a deficient number, since it is larger than the sum of its proper divisors (13819605867).

21102122133 is a wasteful number, since it uses less digits than its factorization.

21102122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30423 (or 30417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21102122133 its reverse (33122120112), we get a palindrome (54224242245).

The spelling of 21102122133 in words is "twenty-one billion, one hundred two million, one hundred twenty-two thousand, one hundred thirty-three".