221100000001122 has 48 divisors (see below), whose sum is σ = 499191154854336. Its totient is φ = 65189189181600.

The previous prime is 221100000001103. The next prime is 221100000001129.

221100000001122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×221100000001122² (a number of 29 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 = 221100000001098 and 221100000001107.

It is not an unprimeable number, because it can be changed into a prime (221100000001129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4115452254 + ... + 4115505977.

It is an arithmetic number, because the mean of its divisors is an integer number (10399815726132).

Almost surely, 2^{221100000001122} is an apocalyptic number.

221100000001122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221100000001122 is an abundant number, since it is smaller than the sum of its proper divisors (278091154853214).

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

221100000001122 is a wasteful number, since it uses less digits than its factorization.

221100000001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8230958295 (or 8230958284 counting only the distinct ones).

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

It can be divided in two parts, 22110000000 and 1122, that added together give a palindrome (22110001122).

The spelling of 221100000001122 in words is "two hundred twenty-one trillion, one hundred billion, one thousand, one hundred twenty-two".