1001320122 has 128 divisors (see below), whose sum is σ = 2346962688. Its totient is φ = 282009600.

The previous prime is 1001320097. The next prime is 1001320139. The reversal of 1001320122 is 2210231001.

It is a junction number, because it is equal to n+sod(n) for n = 1001320098 and 1001320107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7308838 + ... + 7308974.

It is an arithmetic number, because the mean of its divisors is an integer number (18335646).

Almost surely, 2^1001320122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001320122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173481344).

1001320122 is an abundant number, since it is smaller than the sum of its proper divisors (1345642566).

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

1001320122 is a wasteful number, since it uses less digits than its factorization.

1001320122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1001320122 is about 31643.6426790596. The cubic root of 1001320122 is about 1000.4398471728.

Adding to 1001320122 its reverse (2210231001), we get a palindrome (3211551123).

It can be divided in two parts, 10013 and 20122, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 1001320122 in words is "one billion, one million, three hundred twenty thousand, one hundred twenty-two".