2011111121001 has 8 divisors (see below), whose sum is σ = 2681505211840. Its totient is φ = 1340728888752.

The previous prime is 2011111120913. The next prime is 2011111121023. The reversal of 2011111121001 is 1001211111102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2011111121001 - 2¹³ = 2011111112809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011111121081) 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 7 ways as a sum of consecutive naturals, for example, 2561086 + ... + 3252903.

It is an arithmetic number, because the mean of its divisors is an integer number (335188151480).

Almost surely, 2^{2011111121001} is an apocalyptic number.

It is an amenable number.

2011111121001 is a deficient number, since it is larger than the sum of its proper divisors (670394090839).

2011111121001 is a wasteful number, since it uses less digits than its factorization.

2011111121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929295.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2011111121001 its reverse (1001211111102), we get a palindrome (3012322232103).

The spelling of 2011111121001 in words is "two trillion, eleven billion, one hundred eleven million, one hundred twenty-one thousand, one".