101000011100101 has 4 divisors (see below), whose sum is σ = 101002121602252. Its totient is φ = 100997900597952.

The previous prime is 101000011100099. The next prime is 101000011100167. The reversal of 101000011100101 is 101001110000101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 87241297493025 + 13758713607076 = 9340305^2 + 3709274^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000011100101 - 2¹ = 101000011100099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000011100171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1055179290 + ... + 1055275003.

It is an arithmetic number, because the mean of its divisors is an integer number (25250530400563).

Almost surely, 2^{101000011100101} is an apocalyptic number.

It is an amenable number.

101000011100101 is a deficient number, since it is larger than the sum of its proper divisors (2110502151).

101000011100101 is an equidigital number, since it uses as much as digits as its factorization.

101000011100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110502150.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101000011100101 its reverse (101001110000101), we get a palindrome (202001121100202).

The spelling of 101000011100101 in words is "one hundred one trillion, eleven million, one hundred thousand, one hundred one".