101100010101101 has 64 divisors (see below), whose sum is σ = 116016295127040. Its totient is φ = 87293886167040.

The previous prime is 101100010101091. The next prime is 101100010101107. The reversal of 101100010101101 is 101101010001101.

It is a cyclic number.

It is not a de Polignac number, because 101100010101101 - 2¹⁰ = 101100010100077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100010101107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1586174105 + ... + 1586237841.

It is an arithmetic number, because the mean of its divisors is an integer number (1812754611360).

Almost surely, 2^{101100010101101} is an apocalyptic number.

101100010101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100010101101 is a deficient number, since it is larger than the sum of its proper divisors (14916285025939).

101100010101101 is a wasteful number, since it uses less digits than its factorization.

101100010101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64466.

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

Adding to 101100010101101 its reverse (101101010001101), we get a palindrome (202201020102202).

The spelling of 101100010101101 in words is "one hundred one trillion, one hundred billion, ten million, one hundred one thousand, one hundred one".