2211011221122 has 64 divisors (see below), whose sum is σ = 5642133926400. Its totient is φ = 634740060240.

The previous prime is 2211011221099. The next prime is 2211011221129. The reversal of 2211011221122 is 2211221101122.

2211011221122 is a `hidden beast` number, since 221 + 101 + 1 + 221 + 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 = 2211011221095 and 2211011221104.

It is not an unprimeable number, because it can be changed into a prime (2211011221129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97942428 + ... + 97964999.

It is an arithmetic number, because the mean of its divisors is an integer number (88158342600).

Almost surely, 2^{2211011221122} is an apocalyptic number.

2211011221122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2211011221122 is an abundant number, since it is smaller than the sum of its proper divisors (3431122705278).

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

2211011221122 is a wasteful number, since it uses less digits than its factorization.

2211011221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195907468 (or 195907462 counting only the distinct ones).

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

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

The spelling of 2211011221122 in words is "two trillion, two hundred eleven billion, eleven million, two hundred twenty-one thousand, one hundred twenty-two".