2111101122011 has 8 divisors (see below), whose sum is σ = 2539670522880. Its totient is φ = 1714277602728.

The previous prime is 2111101122001. The next prime is 2111101122023. The reversal of 2111101122011 is 1102211011112.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2111101122011 is a prime.

It is a super-2 number, since 2×2111101122011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2111101122001) 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, 7936470251 + ... + 7936470516.

It is an arithmetic number, because the mean of its divisors is an integer number (317458815360).

Almost surely, 2^{2111101122011} is an apocalyptic number.

2111101122011 is a deficient number, since it is larger than the sum of its proper divisors (428569400869).

2111101122011 is a wasteful number, since it uses less digits than its factorization.

2111101122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15872940793.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2111101122011 its reverse (1102211011112), we get a palindrome (3213312133123).

The spelling of 2111101122011 in words is "two trillion, one hundred eleven billion, one hundred one million, one hundred twenty-two thousand, eleven".