101101100110101 has 256 divisors, whose sum is σ = 197100288000000. Its totient is φ = 50797449077760.

The previous prime is 101101100110099. The next prime is 101101100110141. The reversal of 101101100110101 is 101011001101101.

It is not a de Polignac number, because 101101100110101 - 2¹ = 101101100110099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101100110141) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 667262650 + ... + 667414148.

It is an arithmetic number, because the mean of its divisors is an integer number (769923000000).

Almost surely, 2^{101101100110101} is an apocalyptic number.

It is an amenable number.

101101100110101 is a deficient number, since it is larger than the sum of its proper divisors (95999187889899).

101101100110101 is a wasteful number, since it uses less digits than its factorization.

101101100110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151806 (or 151786 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101101100110101 its reverse (101011001101101), we get a palindrome (202112101211202).

The spelling of 101101100110101 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred one".