1001120112001 has 64 divisors (see below), whose sum is σ = 1109773659456. Its totient is φ = 899422617600.

The previous prime is 1001120111989. The next prime is 1001120112023. The reversal of 1001120112001 is 1002110211001.

It can be written as a sum of positive squares in 32 ways, for example, as 155500092225 + 845620019776 = 394335^2 + 919576^2 .

It is not a de Polignac number, because 1001120112001 - 2³³ = 992530177409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001120112071) 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 63 ways as a sum of consecutive naturals, for example, 2171626911 + ... + 2171627371.

It is an arithmetic number, because the mean of its divisors is an integer number (17340213429).

Almost surely, 2^{1001120112001} is an apocalyptic number.

It is an amenable number.

1001120112001 is a deficient number, since it is larger than the sum of its proper divisors (108653547455).

1001120112001 is a wasteful number, since it uses less digits than its factorization.

1001120112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001120112001 its reverse (1002110211001), we get a palindrome (2003230323002).

The spelling of 1001120112001 in words is "one trillion, one billion, one hundred twenty million, one hundred twelve thousand, one".