2101122111 has 16 divisors (see below), whose sum is σ = 3057816960. Its totient is φ = 1272724320.

The previous prime is 2101122097. The next prime is 2101122137. The reversal of 2101122111 is 1112211012.

It is not a de Polignac number, because 2101122111 - 2⁶ = 2101122047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101122161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49221 + ... + 81393.

It is an arithmetic number, because the mean of its divisors is an integer number (191113560).

Almost surely, 2^2101122111 is an apocalyptic number.

2101122111 is a deficient number, since it is larger than the sum of its proper divisors (956694849).

2101122111 is a wasteful number, since it uses less digits than its factorization.

2101122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34166.

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 2101122111 is about 45837.9985492386. The cubic root of 2101122111 is about 1280.8072119881.

Adding to 2101122111 its reverse (1112211012), we get a palindrome (3213333123).

The spelling of 2101122111 in words is "two billion, one hundred one million, one hundred twenty-two thousand, one hundred eleven".