101011211113 has 2 divisors, whose sum is σ = 101011211114. Its totient is φ = 101011211112.

The previous prime is 101011211011. The next prime is 101011211117. The reversal of 101011211113 is 311112110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97161877264 + 3849333849 = 311708^2 + 62043^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011211113 - 2¹⁷ = 101011080041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011211093 and 101011211102.

It is not a weakly prime, because it can be changed into another prime (101011211117) 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, 50505605556 + 50505605557.

It is an arithmetic number, because the mean of its divisors is an integer number (50505605557).

Almost surely, 2^101011211113 is an apocalyptic number.

It is an amenable number.

101011211113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011211113 is an equidigital number, since it uses as much as digits as its factorization.

101011211113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 101011211113 its reverse (311112110101), we get a palindrome (412123321214).

The spelling of 101011211113 in words is "one hundred one billion, eleven million, two hundred eleven thousand, one hundred thirteen".