21110220021114 has 256 divisors, whose sum is σ = 55232053493760. Its totient is φ = 5852504689920.

The previous prime is 21110220021113. The next prime is 21110220021127. The reversal of 21110220021114 is 41112002201112.

21110220021114 is a `hidden beast` number, since 211 + 10 + 220 + 0 + 211 + 14 = 666.

It is a super-3 number, since 3×21110220021114³ (a number of 41 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21110220021113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 624601264 + ... + 624635060.

It is an arithmetic number, because the mean of its divisors is an integer number (215750208960).

Almost surely, 2^{21110220021114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110220021114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27616026746880).

21110220021114 is an abundant number, since it is smaller than the sum of its proper divisors (34121833472646).

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

21110220021114 is a wasteful number, since it uses less digits than its factorization.

21110220021114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34242 (or 34236 counting only the distinct ones).

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

Adding to 21110220021114 its reverse (41112002201112), we get a palindrome (62222222222226).

The spelling of 21110220021114 in words is "twenty-one trillion, one hundred ten billion, two hundred twenty million, twenty-one thousand, one hundred fourteen".