21210111120 has 240 divisors, whose sum is σ = 73307504448. Its totient is φ = 5031060480.

The previous prime is 21210111119. The next prime is 21210111133. The reversal of 21210111120 is 2111101212.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21210111096 and 21210111105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5829942 + ... + 5833578.

Almost surely, 2^21210111120 is an apocalyptic number.

21210111120 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 21210111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36653752224).

21210111120 is an abundant number, since it is smaller than the sum of its proper divisors (52097393328).

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

21210111120 is a wasteful number, since it uses less digits than its factorization.

21210111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21210111120 its reverse (2111101212), we get a palindrome (23321212332).

The spelling of 21210111120 in words is "twenty-one billion, two hundred ten million, one hundred eleven thousand, one hundred twenty".