1001122211201 has 16 divisors (see below), whose sum is σ = 1158041577600. Its totient is φ = 847716172800.

The previous prime is 1001122211191. The next prime is 1001122211209. The reversal of 1001122211201 is 1021122211001.

It is not a de Polignac number, because 1001122211201 - 2⁶ = 1001122211137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001122211209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1259411 + ... + 1894296.

It is an arithmetic number, because the mean of its divisors is an integer number (72377598600).

Almost surely, 2^{1001122211201} is an apocalyptic number.

It is an amenable number.

1001122211201 is a deficient number, since it is larger than the sum of its proper divisors (156919366399).

1001122211201 is a wasteful number, since it uses less digits than its factorization.

1001122211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154264.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1001122211201 its reverse (1021122211001), we get a palindrome (2022244422202).

The spelling of 1001122211201 in words is "one trillion, one billion, one hundred twenty-two million, two hundred eleven thousand, two hundred one".