2112210020011 has 24 divisors (see below), whose sum is σ = 2646449055600. Its totient is φ = 1670956765632.

The previous prime is 2112210019991. The next prime is 2112210020017. The reversal of 2112210020011 is 1100200122112.

It is not a de Polignac number, because 2112210020011 - 2²¹ = 2112207922859 is a prime.

It is a super-2 number, since 2×2112210020011² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2112210019973 and 2112210020000.

It is not an unprimeable number, because it can be changed into a prime (2112210020017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4220140 + ... + 4694038.

It is an arithmetic number, because the mean of its divisors is an integer number (110268710650).

Almost surely, 2^{2112210020011} is an apocalyptic number.

2112210020011 is a deficient number, since it is larger than the sum of its proper divisors (534239035589).

2112210020011 is a wasteful number, since it uses less digits than its factorization.

2112210020011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480923 (or 480916 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2112210020011 its reverse (1100200122112), we get a palindrome (3212410142123).

The spelling of 2112210020011 in words is "two trillion, one hundred twelve billion, two hundred ten million, twenty thousand, eleven".