2100310211011 has 2 divisors, whose sum is σ = 2100310211012. Its totient is φ = 2100310211010.

The previous prime is 2100310211009. The next prime is 2100310211033. The reversal of 2100310211011 is 1101120130012.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2100310211011 - 2¹ = 2100310211009 is a prime.

It is a super-2 number, since 2×2100310211011² (a number of 25 digits) contains 22 as substring.

Together with 2100310211009, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2100310210982 and 2100310211000.

It is not a weakly prime, because it can be changed into another prime (2100310211081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050155105505 + 1050155105506.

It is an arithmetic number, because the mean of its divisors is an integer number (1050155105506).

Almost surely, 2^{2100310211011} is an apocalyptic number.

2100310211011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100310211011 is an equidigital number, since it uses as much as digits as its factorization.

2100310211011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 2100310211011 its reverse (1101120130012), we get a palindrome (3201430341023).

The spelling of 2100310211011 in words is "two trillion, one hundred billion, three hundred ten million, two hundred eleven thousand, eleven".