2101102121011 has 2 divisors, whose sum is σ = 2101102121012. Its totient is φ = 2101102121010.

The previous prime is 2101102120969. The next prime is 2101102121039. The reversal of 2101102121011 is 1101212011012.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2101102121011 - 2¹⁵ = 2101102088243 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101102120982 and 2101102121000.

It is not a weakly prime, because it can be changed into another prime (2101102121071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050551060505 + 1050551060506.

It is an arithmetic number, because the mean of its divisors is an integer number (1050551060506).

Almost surely, 2^{2101102121011} is an apocalyptic number.

2101102121011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101102121011 is an equidigital number, since it uses as much as digits as its factorization.

2101102121011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2101102121011 its reverse (1101212011012), we get a palindrome (3202314132023).

The spelling of 2101102121011 in words is "two trillion, one hundred one billion, one hundred two million, one hundred twenty-one thousand, eleven".