21101411520 has 896 divisors, whose sum is σ = 90064742400. Its totient is φ = 4548870144.

The previous prime is 21101411489. The next prime is 21101411531. The reversal of 21101411520 is 2511410112.

21101411520 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 141 + 1 + 520 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21101411493 and 21101411502.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92957647 + ... + 92957873.

Almost surely, 2^21101411520 is an apocalyptic number.

21101411520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45032371200).

21101411520 is an abundant number, since it is smaller than the sum of its proper divisors (68963330880).

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

21101411520 is a wasteful number, since it uses less digits than its factorization.

21101411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 21101411520 its reverse (2511410112), we get a palindrome (23612821632).

The spelling of 21101411520 in words is "twenty-one billion, one hundred one million, four hundred eleven thousand, five hundred twenty".