1101222202122 has 192 divisors, whose sum is σ = 2869216162560. Its totient is φ = 306684112896.

The previous prime is 1101222202121. The next prime is 1101222202127. The reversal of 1101222202122 is 2212022221011.

It is a happy number.

1101222202122 is a `hidden beast` number, since 110 + 122 + 220 + 212 + 2 = 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 = 1101222202095 and 1101222202104.

It is not an unprimeable number, because it can be changed into a prime (1101222202121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 414459418 + ... + 414462074.

It is an arithmetic number, because the mean of its divisors is an integer number (14943834180).

Almost surely, 2^{1101222202122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101222202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434608081280).

1101222202122 is an abundant number, since it is smaller than the sum of its proper divisors (1767993960438).

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

1101222202122 is a wasteful number, since it uses less digits than its factorization.

1101222202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3305 counting only the distinct ones).

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

Adding to 1101222202122 its reverse (2212022221011), we get a palindrome (3313244423133).

The spelling of 1101222202122 in words is "one trillion, one hundred one billion, two hundred twenty-two million, two hundred two thousand, one hundred twenty-two".