21010211160 has 128 divisors (see below), whose sum is σ = 66030336000. Its totient is φ = 5340980736.

The previous prime is 21010211137. The next prime is 21010211161. The reversal of 21010211160 is 6111201012.

It is a happy number.

It is a super-3 number, since 3×21010211160³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010211161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236709 + ... + 313131.

It is an arithmetic number, because the mean of its divisors is an integer number (515862000).

Almost surely, 2^21010211160 is an apocalyptic number.

21010211160 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 21010211160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33015168000).

21010211160 is an abundant number, since it is smaller than the sum of its proper divisors (45020124840).

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

21010211160 is a wasteful number, since it uses less digits than its factorization.

21010211160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76545 (or 76541 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 21010211160 its reverse (6111201012), we get a palindrome (27121412172).

The spelling of 21010211160 in words is "twenty-one billion, ten million, two hundred eleven thousand, one hundred sixty".