2100101321011 has 2 divisors, whose sum is σ = 2100101321012. Its totient is φ = 2100101321010.

The previous prime is 2100101320997. The next prime is 2100101321029. The reversal of 2100101321011 is 1101231010012.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100101321011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100101320982 and 2100101321000.

It is not a weakly prime, because it can be changed into another prime (2100101321041) 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 as a sum of consecutive naturals, namely, 1050050660505 + 1050050660506.

It is an arithmetic number, because the mean of its divisors is an integer number (1050050660506).

Almost surely, 2^{2100101321011} is an apocalyptic number.

2100101321011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100101321011 is an equidigital number, since it uses as much as digits as its factorization.

2100101321011 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 2100101321011 its reverse (1101231010012), we get a palindrome (3201332331023).

The spelling of 2100101321011 in words is "two trillion, one hundred billion, one hundred one million, three hundred twenty-one thousand, eleven".