101101011120101 has 2 divisors, whose sum is σ = 101101011120102. Its totient is φ = 101101011120100.

The previous prime is 101101011120047. The next prime is 101101011120119. The reversal of 101101011120101 is 101021110101101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101015082991876 + 85928128225 = 10050626^2 + 293135^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101011120101 - 2⁴⁶ = 30732266942437 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101011120601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550505560050 + 50550505560051.

It is an arithmetic number, because the mean of its divisors is an integer number (50550505560051).

Almost surely, 2^{101101011120101} is an apocalyptic number.

It is an amenable number.

101101011120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101011120101 is an equidigital number, since it uses as much as digits as its factorization.

101101011120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101101011120101 its reverse (101021110101101), we get a palindrome (202122121221202).

The spelling of 101101011120101 in words is "one hundred one trillion, one hundred one billion, eleven million, one hundred twenty thousand, one hundred one".