2011111120001 has 8 divisors (see below), whose sum is σ = 2015680689024. Its totient is φ = 2006542525680.

The previous prime is 2011111119949. The next prime is 2011111120009. The reversal of 2011111120001 is 1000211111102.

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

It is a cyclic number.

It is not a de Polignac number, because 2011111120001 - 2¹⁸ = 2011110857857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011111120009) 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, 3970235 + ... + 4448031.

It is an arithmetic number, because the mean of its divisors is an integer number (251960086128).

Almost surely, 2^{2011111120001} is an apocalyptic number.

It is an amenable number.

2011111120001 is a deficient number, since it is larger than the sum of its proper divisors (4569569023).

2011111120001 is an equidigital number, since it uses as much as digits as its factorization.

2011111120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487351.

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

Adding to 2011111120001 its reverse (1000211111102), we get a palindrome (3011322231103).

The spelling of 2011111120001 in words is "two trillion, eleven billion, one hundred eleven million, one hundred twenty thousand, one".