101121101101 has 2 divisors, whose sum is σ = 101121101102. Its totient is φ = 101121101100.

The previous prime is 101121101087. The next prime is 101121101143. The reversal of 101121101101 is 101101121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51615296100 + 49505805001 = 227190^2 + 222499^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121101101 - 2¹⁵ = 101121068333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121101201) 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, 50560550550 + 50560550551.

It is an arithmetic number, because the mean of its divisors is an integer number (50560550551).

Almost surely, 2^101121101101 is an apocalyptic number.

It is an amenable number.

101121101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121101101 is an equidigital number, since it uses as much as digits as its factorization.

101121101101 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 10.

Adding to 101121101101 its reverse (101101121101), we get a palindrome (202222222202).

It can be divided in two parts, 101121101 and 101, that multiplied together give a palindrome (10213231201).

The spelling of 101121101101 in words is "one hundred one billion, one hundred twenty-one million, one hundred one thousand, one hundred one".