2112211002111 has 32 divisors (see below), whose sum is σ = 3231564840960. Its totient is φ = 1202122806624.

The previous prime is 2112211002079. The next prime is 2112211002127. The reversal of 2112211002111 is 1112001122112.

It is a happy number.

It is not a de Polignac number, because 2112211002111 - 2⁵ = 2112211002079 is a prime.

It is a super-2 number, since 2×2112211002111² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112211002151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12174270 + ... + 12346548.

It is an arithmetic number, because the mean of its divisors is an integer number (100986401280).

Almost surely, 2^{2112211002111} is an apocalyptic number.

2112211002111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2112211002111 is a deficient number, since it is larger than the sum of its proper divisors (1119353838849).

2112211002111 is a wasteful number, since it uses less digits than its factorization.

2112211002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174635.

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

Adding to 2112211002111 its reverse (1112001122112), we get a palindrome (3224212124223).

The spelling of 2112211002111 in words is "two trillion, one hundred twelve billion, two hundred eleven million, two thousand, one hundred eleven".