2100111010011 has 12 divisors (see below), whose sum is σ = 3466849921392. Its totient is φ = 1200063434256.

The previous prime is 2100111009973. The next prime is 2100111010057. The reversal of 2100111010011 is 1100101110012.

It is not a de Polignac number, because 2100111010011 - 2¹¹ = 2100111007963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100111009975 and 2100111010002.

It is not an unprimeable number, because it can be changed into a prime (2100111010061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16667547636 + ... + 16667547761.

It is an arithmetic number, because the mean of its divisors is an integer number (288904160116).

Almost surely, 2^{2100111010011} is an apocalyptic number.

2100111010011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2100111010011 is a deficient number, since it is larger than the sum of its proper divisors (1366738911381).

2100111010011 is a wasteful number, since it uses less digits than its factorization.

2100111010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33335095410 (or 33335095407 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2100111010011 its reverse (1100101110012), we get a palindrome (3200212120023).

The spelling of 2100111010011 in words is "two trillion, one hundred billion, one hundred eleven million, ten thousand, eleven".