2011111110211 has 8 divisors (see below), whose sum is σ = 2419381786880. Its totient is φ = 1633082705928.

The previous prime is 2011111110133. The next prime is 2011111110223. The reversal of 2011111110211 is 1120111111102.

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 2011111110211 - 2¹⁷ = 2011110979139 is a prime.

It is a super-2 number, since 2×2011111110211² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011111110191 and 2011111110200.

It is not an unprimeable number, because it can be changed into a prime (2011111110511) 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, 7560567951 + ... + 7560568216.

It is an arithmetic number, because the mean of its divisors is an integer number (302422723360).

Almost surely, 2^{2011111110211} is an apocalyptic number.

2011111110211 is a deficient number, since it is larger than the sum of its proper divisors (408270676669).

2011111110211 is a wasteful number, since it uses less digits than its factorization.

2011111110211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15121136193.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 2011111110211 its reverse (1120111111102), we get a palindrome (3131222221313).

It can be divided in two parts, 20111111102 and 11, that multiplied together give a palindrome (221222222122).

The spelling of 2011111110211 in words is "two trillion, eleven billion, one hundred eleven million, one hundred ten thousand, two hundred eleven".