1001132122211 has 32 divisors (see below), whose sum is σ = 1122485253120. Its totient is φ = 886973068800.

The previous prime is 1001132122201. The next prime is 1001132122217. The reversal of 1001132122211 is 1122212311001.

It is a happy number.

It is not a de Polignac number, because 1001132122211 - 2⁶ = 1001132122147 is a prime.

It is a super-2 number, since 2×1001132122211² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001132122211.

It is not an unprimeable number, because it can be changed into a prime (1001132122217) 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 31 ways as a sum of consecutive naturals, for example, 9264251 + ... + 9371691.

It is an arithmetic number, because the mean of its divisors is an integer number (35077664160).

Almost surely, 2^{1001132122211} is an apocalyptic number.

1001132122211 is a deficient number, since it is larger than the sum of its proper divisors (121353130909).

1001132122211 is a wasteful number, since it uses less digits than its factorization.

1001132122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107787.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1001132122211 its reverse (1122212311001), we get a palindrome (2123344433212).

The spelling of 1001132122211 in words is "one trillion, one billion, one hundred thirty-two million, one hundred twenty-two thousand, two hundred eleven".