2102111010011 has 16 divisors (see below), whose sum is σ = 2216115134208. Its totient is φ = 1991176387200.

The previous prime is 2102111010007. The next prime is 2102111010029. The reversal of 2102111010011 is 1100101112012.

It is a cyclic number.

It is not a de Polignac number, because 2102111010011 - 2² = 2102111010007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102111009974 and 2102111010001.

It is not an unprimeable number, because it can be changed into a prime (2102111010031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827816 + ... + 2211221.

It is an arithmetic number, because the mean of its divisors is an integer number (138507195888).

Almost surely, 2^{2102111010011} is an apocalyptic number.

2102111010011 is a deficient number, since it is larger than the sum of its proper divisors (114004124197).

2102111010011 is a wasteful number, since it uses less digits than its factorization.

2102111010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039542.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2102111010011 its reverse (1100101112012), we get a palindrome (3202212122023).

The spelling of 2102111010011 in words is "two trillion, one hundred two billion, one hundred eleven million, ten thousand, eleven".