101011100110101 has 48 divisors (see below), whose sum is σ = 148636436382720. Its totient is φ = 66084106263840.

The previous prime is 101011100110069. The next prime is 101011100110117. The reversal of 101011100110101 is 101011001110101.

It is not a de Polignac number, because 101011100110101 - 2⁵ = 101011100110069 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 (101011100110121) 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 47 ways as a sum of consecutive naturals, for example, 762333466 + ... + 762465956.

It is an arithmetic number, because the mean of its divisors is an integer number (3096592424640).

Almost surely, 2^{101011100110101} is an apocalyptic number.

It is an amenable number.

101011100110101 is a deficient number, since it is larger than the sum of its proper divisors (47625336272619).

101011100110101 is a wasteful number, since it uses less digits than its factorization.

101011100110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135046 (or 135043 counting only the distinct ones).

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

Adding to 101011100110101 its reverse (101011001110101), we get a palindrome (202022101220202).

The spelling of 101011100110101 in words is "one hundred one trillion, eleven billion, one hundred million, one hundred ten thousand, one hundred one".