221100001122 has 256 divisors, whose sum is σ = 615869485056. Its totient is φ = 51062400000.

The previous prime is 221100001117. The next prime is 221100001151.

221100001122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×221100001122² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221100001098 and 221100001107.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22439497 + ... + 22449347.

It is an arithmetic number, because the mean of its divisors is an integer number (2405740176).

Almost surely, 2^221100001122 is an apocalyptic number.

221100001122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221100001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307934742528).

221100001122 is an abundant number, since it is smaller than the sum of its proper divisors (394769483934).

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

221100001122 is a wasteful number, since it uses less digits than its factorization.

221100001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10025.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 22110000 and 1122, that added together give a palindrome (22111122).

The spelling of 221100001122 in words is "two hundred twenty-one billion, one hundred million, one thousand, one hundred twenty-two".