1001003122180 has 12 divisors (see below), whose sum is σ = 2102106556620. Its totient is φ = 400401248864.

The previous prime is 1001003122139. The next prime is 1001003122181. The reversal of 1001003122180 is 812213001001.

It can be written as a sum of positive squares in 2 ways, for example, as 303925074436 + 697078047744 = 551294^2 + 834912^2 .

It is a super-2 number, since 2×1001003122180² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001003122181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25025078035 + ... + 25025078074.

It is an arithmetic number, because the mean of its divisors is an integer number (175175546385).

Almost surely, 2^{1001003122180} is an apocalyptic number.

1001003122180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001003122180 is an abundant number, since it is smaller than the sum of its proper divisors (1101103434440).

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

1001003122180 is a wasteful number, since it uses less digits than its factorization.

1001003122180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50050156118 (or 50050156116 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1001003122180 its reverse (812213001001), we get a palindrome (1813216123181).

The spelling of 1001003122180 in words is "one trillion, one billion, three million, one hundred twenty-two thousand, one hundred eighty".