1001101122 has 96 divisors (see below), whose sum is σ = 2535616512. Its totient is φ = 279562752.

The previous prime is 1001101121. The next prime is 1001101133. The reversal of 1001101122 is 2211011001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1001101121) 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 47 ways as a sum of consecutive naturals, for example, 1167718 + ... + 1168574.

It is an arithmetic number, because the mean of its divisors is an integer number (26412672).

Almost surely, 2^1001101122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267808256).

1001101122 is an abundant number, since it is smaller than the sum of its proper divisors (1534515390).

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

1001101122 is a wasteful number, since it uses less digits than its factorization.

1001101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1001101122 is about 31640.1820791221. The cubic root of 1001101122 is about 1000.3669060302.

Adding to 1001101122 its reverse (2211011001), we get a palindrome (3212112123).

The spelling of 1001101122 in words is "one billion, one million, one hundred one thousand, one hundred twenty-two".