21114133110 has 320 divisors, whose sum is σ = 70013953152. Its totient is φ = 4455419904.

The previous prime is 21114133109. The next prime is 21114133141. The reversal of 21114133110 is 1133141112.

It is a happy number.

21114133110 is a `hidden beast` number, since 211 + 1 + 413 + 31 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5106604 + ... + 5110736.

Almost surely, 2^21114133110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21114133110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35006976576).

21114133110 is an abundant number, since it is smaller than the sum of its proper divisors (48899820042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21114133110 is a wasteful number, since it uses less digits than its factorization.

21114133110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21114133110 its reverse (1133141112), we get a palindrome (22247274222).

The spelling of 21114133110 in words is "twenty-one billion, one hundred fourteen million, one hundred thirty-three thousand, one hundred ten".