2102111120011 has 24 divisors (see below), whose sum is σ = 2574321953280. Its totient is φ = 1706772976272.

The previous prime is 2102111119993. The next prime is 2102111120023. The reversal of 2102111120011 is 1100211112012.

It is a happy number.

It is not a de Polignac number, because 2102111120011 - 2⁷ = 2102111119883 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102111119973 and 2102111120000.

It is not an unprimeable number, because it can be changed into a prime (2102111120041) 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, 7897090 + ... + 8158936.

It is an arithmetic number, because the mean of its divisors is an integer number (107263414720).

Almost surely, 2^{2102111120011} is an apocalyptic number.

2102111120011 is a deficient number, since it is larger than the sum of its proper divisors (472210833269).

2102111120011 is a wasteful number, since it uses less digits than its factorization.

2102111120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270503 (or 270496 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2102111120011 its reverse (1100211112012), we get a palindrome (3202322232023).

The spelling of 2102111120011 in words is "two trillion, one hundred two billion, one hundred eleven million, one hundred twenty thousand, eleven".