221110011122 has 128 divisors (see below), whose sum is σ = 448161251328. Its totient is φ = 79013491200.

The previous prime is 221110011107. The next prime is 221110011137.

221110011122 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (221110011107) and next prime (221110011137).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221110011097 and 221110011106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350411747 + ... + 350412377.

It is an arithmetic number, because the mean of its divisors is an integer number (3501259776).

Almost surely, 2^221110011122 is an apocalyptic number.

221110011122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221110011122 is an abundant number, since it is smaller than the sum of its proper divisors (227051240206).

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

221110011122 is a wasteful number, since it uses less digits than its factorization.

221110011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 2211100 and 11122, that added together give a palindrome (2222222).

The spelling of 221110011122 in words is "two hundred twenty-one billion, one hundred ten million, eleven thousand, one hundred twenty-two".