2211221101122 has 96 divisors (see below), whose sum is σ = 5284170126144. Its totient is φ = 662686156800.

The previous prime is 2211221101087. The next prime is 2211221101147. The reversal of 2211221101122 is 2211011221122.

2211221101122 is a `hidden beast` number, since 221 + 1 + 221 + 101 + 122 = 666.

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 = 2211221101095 and 2211221101104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27366622 + ... + 27447302.

It is an arithmetic number, because the mean of its divisors is an integer number (55043438814).

Almost surely, 2^{2211221101122} is an apocalyptic number.

2211221101122 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 2211221101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642085063072).

2211221101122 is an abundant number, since it is smaller than the sum of its proper divisors (3072949025022).

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

2211221101122 is a wasteful number, since it uses less digits than its factorization.

2211221101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82224 (or 82221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2211221101122 its reverse (2211011221122), we get a palindrome (4422232322244).

The spelling of 2211221101122 in words is "two trillion, two hundred eleven billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty-two".