1001331111122 has 16 divisors (see below), whose sum is σ = 1590368099832. Its totient is φ = 471209103360.

The previous prime is 1001331111061. The next prime is 1001331111127. The reversal of 1001331111122 is 2211111331001.

It can be written as a sum of positive squares in 4 ways, for example, as 426917185321 + 574413925801 = 653389^2 + 757901^2 .

It is a super-2 number, since 2×1001331111122² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1001331111122.

It is not an unprimeable number, because it can be changed into a prime (1001331111127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5032358 + ... + 5227550.

Almost surely, 2^{1001331111122} is an apocalyptic number.

1001331111122 is a deficient number, since it is larger than the sum of its proper divisors (589036988710).

1001331111122 is a wasteful number, since it uses less digits than its factorization.

1001331111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346093.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1001331111122 its reverse (2211111331001), we get a palindrome (3212442442123).

The spelling of 1001331111122 in words is "one trillion, one billion, three hundred thirty-one million, one hundred eleven thousand, one hundred twenty-two".