1001122122 has 256 divisors, whose sum is σ = 2931425280. Its totient is φ = 219283200.

The previous prime is 1001122121. The next prime is 1001122181. The reversal of 1001122122 is 2212211001.

It is a junction number, because it is equal to n+sod(n) for n = 1001122098 and 1001122107.

It is not an unprimeable number, because it can be changed into a prime (1001122121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3537393 + ... + 3537675.

It is an arithmetic number, because the mean of its divisors is an integer number (11450880).

Almost surely, 2^1001122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465712640).

1001122122 is an abundant number, since it is smaller than the sum of its proper divisors (1930303158).

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

1001122122 is a wasteful number, since it uses less digits than its factorization.

1001122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1001122122 is about 31640.5139338791. The cubic root of 1001122122 is about 1000.3739008474.

Adding to 1001122122 its reverse (2212211001), we get a palindrome (3213333123).

The spelling of 1001122122 in words is "one billion, one million, one hundred twenty-two thousand, one hundred twenty-two".