21122133123 has 128 divisors (see below), whose sum is σ = 39883898880. Its totient is φ = 9612380160.

The previous prime is 21122133107. The next prime is 21122133127. The reversal of 21122133123 is 32133122112.

It is not a de Polignac number, because 21122133123 - 2⁴ = 21122133107 is a prime.

It is a super-2 number, since 2×21122133123² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 21122133123.

It is not an unprimeable number, because it can be changed into a prime (21122133127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2729686 + ... + 2737412.

It is an arithmetic number, because the mean of its divisors is an integer number (311592960).

Almost surely, 2^21122133123 is an apocalyptic number.

21122133123 is a deficient number, since it is larger than the sum of its proper divisors (18761765757).

21122133123 is a wasteful number, since it uses less digits than its factorization.

21122133123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7817.

The product of its digits is 432, while the sum is 21.

Adding to 21122133123 its reverse (32133122112), we get a palindrome (53255255235).

The spelling of 21122133123 in words is "twenty-one billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty-three".