101100121001101 has 2 divisors, whose sum is σ = 101100121001102. Its totient is φ = 101100121001100.

The previous prime is 101100121001069. The next prime is 101100121001107.

101100121001101 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88531181628201 + 12568939372900 = 9409101^2 + 3545270^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 101100121001101 - 2⁵ = 101100121001069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100121001107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550060500550 + 50550060500551.

It is an arithmetic number, because the mean of its divisors is an integer number (50550060500551).

Almost surely, 2^{101100121001101} is an apocalyptic number.

It is an amenable number.

101100121001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100121001101 is an equidigital number, since it uses as much as digits as its factorization.

101100121001101 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.

The spelling of 101100121001101 in words is "one hundred one trillion, one hundred billion, one hundred twenty-one million, one thousand, one hundred one".