21220014001104 has 480 divisors, whose sum is σ = 64442483988480. Its totient is φ = 6493766860800.

The previous prime is 21220014001061. The next prime is 21220014001117. The reversal of 21220014001104 is 40110041002212.

21220014001104 is a `hidden beast` number, since 212 + 200 + 140 + 0 + 110 + 4 = 666.

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, 15365686494 + ... + 15365687874.

It is an arithmetic number, because the mean of its divisors is an integer number (134255174976).

Almost surely, 2^{21220014001104} is an apocalyptic number.

21220014001104 is a gapful number since it is divisible by the number (24) 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 21220014001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32221241994240).

21220014001104 is an abundant number, since it is smaller than the sum of its proper divisors (43222469987376).

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

21220014001104 is a wasteful number, since it uses less digits than its factorization.

21220014001104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21220014001104 its reverse (40110041002212), we get a palindrome (61330055003316).

The spelling of 21220014001104 in words is "twenty-one trillion, two hundred twenty billion, fourteen million, one thousand, one hundred four".