221101222122 has 96 divisors (see below), whose sum is σ = 560063687040. Its totient is φ = 62355173760.

The previous prime is 221101222061. The next prime is 221101222127. The reversal of 221101222122 is 221222101122.

It is a happy number.

221101222122 is a `hidden beast` number, since 221 + 101 + 222 + 122 = 666.

221101222122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 221101222095 and 221101222104.

It is not an unprimeable number, because it can be changed into a prime (221101222127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487597 + ... + 824592.

It is an arithmetic number, because the mean of its divisors is an integer number (5833996740).

Almost surely, 2^221101222122 is an apocalyptic number.

221101222122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221101222122 is an abundant number, since it is smaller than the sum of its proper divisors (338962464918).

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

221101222122 is a wasteful number, since it uses less digits than its factorization.

221101222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312268 (or 1312265 counting only the distinct ones).

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

Adding to 221101222122 its reverse (221222101122), we get a palindrome (442323323244).

The spelling of 221101222122 in words is "two hundred twenty-one billion, one hundred one million, two hundred twenty-two thousand, one hundred twenty-two".