2111022211011 has 24 divisors (see below), whose sum is σ = 3277733130000. Its totient is φ = 1205010922752.

The previous prime is 2111022210961. The next prime is 2111022211033. The reversal of 2111022211011 is 1101122201112.

It is a happy number.

It is not a de Polignac number, because 2111022211011 - 2⁹ = 2111022210499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2111022216011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7525386 + ... + 7800863.

It is an arithmetic number, because the mean of its divisors is an integer number (136572213750).

Almost surely, 2^{2111022211011} is an apocalyptic number.

2111022211011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2111022211011 is a deficient number, since it is larger than the sum of its proper divisors (1166710918989).

2111022211011 is a wasteful number, since it uses less digits than its factorization.

2111022211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15327203 (or 15327196 counting only the distinct ones).

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

Adding to 2111022211011 its reverse (1101122201112), we get a palindrome (3212144412123).

The spelling of 2111022211011 in words is "two trillion, one hundred eleven billion, twenty-two million, two hundred eleven thousand, eleven".