2011101102111 has 8 divisors (see below), whose sum is σ = 2694942851200. Its totient is φ = 1333996710552.

The previous prime is 2011101102107. The next prime is 2011101102203. The reversal of 2011101102111 is 1112011011102.

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

It is not a de Polignac number, because 2011101102111 - 2² = 2011101102107 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011101107111) 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 7 ways as a sum of consecutive naturals, for example, 1684338685 + ... + 1684339878.

It is an arithmetic number, because the mean of its divisors is an integer number (336867856400).

Almost surely, 2^{2011101102111} is an apocalyptic number.

2011101102111 is a deficient number, since it is larger than the sum of its proper divisors (683841749089).

2011101102111 is a wasteful number, since it uses less digits than its factorization.

2011101102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368678765.

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

Adding to 2011101102111 its reverse (1112011011102), we get a palindrome (3123112113213).

The spelling of 2011101102111 in words is "two trillion, eleven billion, one hundred one million, one hundred two thousand, one hundred eleven".