2011102012011 has 8 divisors (see below), whose sum is σ = 2682455557120. Its totient is φ = 1340241570792.

The previous prime is 2011102011973. The next prime is 2011102012013. The reversal of 2011102012011 is 1102102011102.

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

It is not a de Polignac number, because 2011102012011 - 2⁷ = 2011102011883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011102012013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123266455 + ... + 123282768.

It is an arithmetic number, because the mean of its divisors is an integer number (335306944640).

Almost surely, 2^{2011102012011} is an apocalyptic number.

2011102012011 is a deficient number, since it is larger than the sum of its proper divisors (671353545109).

2011102012011 is a wasteful number, since it uses less digits than its factorization.

2011102012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246551945.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011102012011 its reverse (1102102011102), we get a palindrome (3113204023113).

Subtracting from 2011102012011 its reverse (1102102011102), we obtain a palindrome (909000000909).

The spelling of 2011102012011 in words is "two trillion, eleven billion, one hundred two million, twelve thousand, eleven".