2100211110011 has 12 divisors (see below), whose sum is σ = 2485862248272. Its totient is φ = 1738105741344.

The previous prime is 2100211109981. The next prime is 2100211110047. The reversal of 2100211110011 is 1100111120012.

It is not a de Polignac number, because 2100211110011 - 2¹⁴ = 2100211093627 is a prime.

It is a super-2 number, since 2×2100211110011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100211109974 and 2100211110001.

It is not an unprimeable number, because it can be changed into a prime (2100211118011) 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, 178371140 + ... + 178382913.

It is an arithmetic number, because the mean of its divisors is an integer number (207155187356).

Almost surely, 2^{2100211110011} is an apocalyptic number.

2100211110011 is a deficient number, since it is larger than the sum of its proper divisors (385651138261).

2100211110011 is an equidigital number, since it uses as much as digits as its factorization.

2100211110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356754118 (or 356754089 counting only the distinct ones).

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

Adding to 2100211110011 its reverse (1100111120012), we get a palindrome (3200322230023).

The spelling of 2100211110011 in words is "two trillion, one hundred billion, two hundred eleven million, one hundred ten thousand, eleven".