101101010110101 has 48 divisors (see below), whose sum is σ = 146646636095232. Its totient is φ = 67118750899200.

The previous prime is 101101010110069. The next prime is 101101010110147. The reversal of 101101010110101 is 101011010101101.

It is not a de Polignac number, because 101101010110101 - 2⁵ = 101101010110069 is a prime.

It is a super-2 number, since 2×101101010110101² (a number of 29 digits) contains 22 as substring.

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 (101101010115101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22352642026 + ... + 22352646548.

It is an arithmetic number, because the mean of its divisors is an integer number (3055138251984).

Almost surely, 2^{101101010110101} is an apocalyptic number.

It is an amenable number.

101101010110101 is a deficient number, since it is larger than the sum of its proper divisors (45545625985131).

101101010110101 is a wasteful number, since it uses less digits than its factorization.

101101010110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10954 (or 10951 counting only the distinct ones).

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

Adding to 101101010110101 its reverse (101011010101101), we get a palindrome (202112020211202).

The spelling of 101101010110101 in words is "one hundred one trillion, one hundred one billion, ten million, one hundred ten thousand, one hundred one".