21110222201112 has 384 divisors, whose sum is σ = 68359123722240. Its totient is φ = 5811874467840.

The previous prime is 21110222201093. The next prime is 21110222201177.

21110222201112 is a `hidden beast` number, since 21 + 110 + 222 + 201 + 112 = 666.

21110222201112 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63100503 + ... + 63434169.

It is an arithmetic number, because the mean of its divisors is an integer number (178018551360).

Almost surely, 2^{21110222201112} is an apocalyptic number.

21110222201112 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 21110222201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34179561861120).

21110222201112 is an abundant number, since it is smaller than the sum of its proper divisors (47248901521128).

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

21110222201112 is a wasteful number, since it uses less digits than its factorization.

21110222201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333871 (or 333864 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 2111022 and 2201112, that added together give a palindrome (4312134).

The spelling of 21110222201112 in words is "twenty-one trillion, one hundred ten billion, two hundred twenty-two million, two hundred one thousand, one hundred twelve".