2011102112211 has 8 divisors (see below), whose sum is σ = 2681640896400. Its totient is φ = 1340649034752.

The previous prime is 2011102112203. The next prime is 2011102112231. The reversal of 2011102112211 is 1122112011102.

It is a happy number.

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

It is not a de Polignac number, because 2011102112211 - 2³ = 2011102112203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011102112231) 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, 21371910 + ... + 21465803.

It is an arithmetic number, because the mean of its divisors is an integer number (335205112050).

Almost surely, 2^{2011102112211} is an apocalyptic number.

2011102112211 is a deficient number, since it is larger than the sum of its proper divisors (670538784189).

2011102112211 is a wasteful number, since it uses less digits than its factorization.

2011102112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42853365.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2011102112211 its reverse (1122112011102), we get a palindrome (3133214123313).

It can be divided in two parts, 2011102 and 112211, that multiplied together give a palindrome (225667766522).

The spelling of 2011102112211 in words is "two trillion, eleven billion, one hundred two million, one hundred twelve thousand, two hundred eleven".