1001112121001 has 4 divisors (see below), whose sum is σ = 1002427643604. Its totient is φ = 999796598400.

The previous prime is 1001112120941. The next prime is 1001112121003. The reversal of 1001112121001 is 1001212111001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 12179329600 + 988932791401 = 110360^2 + 994451^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001112121001 - 2⁶ = 1001112120937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1001112121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 657760160 + ... + 657761681.

It is an arithmetic number, because the mean of its divisors is an integer number (250606910901).

Almost surely, 2^{1001112121001} is an apocalyptic number.

It is an amenable number.

1001112121001 is a deficient number, since it is larger than the sum of its proper divisors (1315522603).

1001112121001 is an equidigital number, since it uses as much as digits as its factorization.

1001112121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315522602.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1001112121001 its reverse (1001212111001), we get a palindrome (2002324232002).

The spelling of 1001112121001 in words is "one trillion, one billion, one hundred twelve million, one hundred twenty-one thousand, one".