1001122211001 has 48 divisors (see below), whose sum is σ = 1535871504384. Its totient is φ = 578898012000.

The previous prime is 1001122210981. The next prime is 1001122211003.

1001122211001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1001122211001 - 2¹⁰ = 1001122209977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001122211003) 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 47 ways as a sum of consecutive naturals, for example, 172450 + ... + 1425476.

It is an arithmetic number, because the mean of its divisors is an integer number (31997323008).

Almost surely, 2^{1001122211001} is an apocalyptic number.

1001122211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001122211001 is a deficient number, since it is larger than the sum of its proper divisors (534749293383).

1001122211001 is a wasteful number, since it uses less digits than its factorization.

1001122211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253154 (or 1253143 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 1001122211001 in words is "one trillion, one billion, one hundred twenty-two million, two hundred eleven thousand, one".