2111011121111 has 8 divisors (see below), whose sum is σ = 2120128511904. Its totient is φ = 2101894220160.

The previous prime is 2111011121081. The next prime is 2111011121161. The reversal of 2111011121111 is 1111211101112.

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 2111011121111 - 2²² = 2111006926807 is a prime.

It is a super-2 number, since 2×2111011121111² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111011121161) 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, 10497470 + ... + 10696676.

It is an arithmetic number, because the mean of its divisors is an integer number (265016063988).

Almost surely, 2^{2111011121111} is an apocalyptic number.

2111011121111 is a deficient number, since it is larger than the sum of its proper divisors (9117390793).

2111011121111 is a wasteful number, since it uses less digits than its factorization.

2111011121111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244921.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 2111011121111 its reverse (1111211101112), we get a palindrome (3222222222223).

It can be divided in two parts, 211101112 and 1111, that multiplied together give a palindrome (234533335432).

The spelling of 2111011121111 in words is "two trillion, one hundred eleven billion, eleven million, one hundred twenty-one thousand, one hundred eleven".