101101001100101 has 2 divisors, whose sum is σ = 101101001100102. Its totient is φ = 101101001100100.

The previous prime is 101101001100097. The next prime is 101101001100139. The reversal of 101101001100101 is 101001100101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83288001003076 + 17813000097025 = 9126226^2 + 4220545^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101001100101 - 2² = 101101001100097 is a prime.

It is a super-2 number, since 2×101101001100101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101001400101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500550050 + 50550500550051.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500550051).

Almost surely, 2^{101101001100101} is an apocalyptic number.

It is an amenable number.

101101001100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101001100101 is an equidigital number, since it uses as much as digits as its factorization.

101101001100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101101001100101 its reverse (101001100101101), we get a palindrome (202102101201202).

It can be divided in two parts, 101 and 101001100101, that multiplied together give a palindrome (10201111110201).

The spelling of 101101001100101 in words is "one hundred one trillion, one hundred one billion, one million, one hundred thousand, one hundred one".