21116001533100 has 72 divisors (see below), whose sum is σ = 63202377028560. Its totient is φ = 5436763610880.

The previous prime is 21116001533093. The next prime is 21116001533101. The reversal of 21116001533100 is 133510061112.

It is a super-2 number, since 2×21116001533100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21116001533101) 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, 1213554607 + ... + 1213572006.

Almost surely, 2^{21116001533100} is an apocalyptic number.

21116001533100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21116001533100 is an abundant number, since it is smaller than the sum of its proper divisors (42086375495460).

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

21116001533100 is a wasteful number, since it uses less digits than its factorization.

21116001533100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427126659 (or 2427126652 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

Adding to 21116001533100 its reverse (133510061112), we get a palindrome (21249511594212).

The spelling of 21116001533100 in words is "twenty-one trillion, one hundred sixteen billion, one million, five hundred thirty-three thousand, one hundred".