21101308488 has 256 divisors, whose sum is σ = 65253081600. Its totient is φ = 6277340160.

The previous prime is 21101308469. The next prime is 21101308489. The reversal of 21101308488 is 88480310112.

It is a super-2 number, since 2×21101308488² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21101308489) 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, 10565506 + ... + 10567502.

It is an arithmetic number, because the mean of its divisors is an integer number (254894850).

Almost surely, 2^21101308488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101308488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32626540800).

21101308488 is an abundant number, since it is smaller than the sum of its proper divisors (44151773112).

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

21101308488 is a wasteful number, since it uses less digits than its factorization.

21101308488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 21101308488 in words is "twenty-one billion, one hundred one million, three hundred eight thousand, four hundred eighty-eight".