21110201112 has 768 divisors, whose sum is σ = 78250475520. Its totient is φ = 4598415360.

The previous prime is 21110201089. The next prime is 21110201141.

21110201112 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166221993 + ... + 166222119.

It is an arithmetic number, because the mean of its divisors is an integer number (101888640).

Almost surely, 2^21110201112 is an apocalyptic number.

21110201112 is a gapful number since it is divisible by the number (22) 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 21110201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39125237760).

21110201112 is an abundant number, since it is smaller than the sum of its proper divisors (57140274408).

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

21110201112 is a wasteful number, since it uses less digits than its factorization.

21110201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

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

It can be divided in two parts, 21110 and 201112, that added together give a palindrome (222222).

The spelling of 21110201112 in words is "twenty-one billion, one hundred ten million, two hundred one thousand, one hundred twelve".