101000010100101 has 48 divisors (see below), whose sum is σ = 160973010277248. Its totient is φ = 55172418336000.

The previous prime is 101000010100091. The next prime is 101000010100153. The reversal of 101000010100101 is 101001010000101.

It is not a de Polignac number, because 101000010100101 - 2⁴² = 96601963588997 is a prime.

101000010100101 is a modest number, since divided by 10100101 gives 10100 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 101000010100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000010100181) 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, 26527210 + ... + 30094731.

It is an arithmetic number, because the mean of its divisors is an integer number (3353604380776).

Almost surely, 2^{101000010100101} is an apocalyptic number.

It is an amenable number.

101000010100101 is a deficient number, since it is larger than the sum of its proper divisors (59973000177147).

101000010100101 is a wasteful number, since it uses less digits than its factorization.

101000010100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56622110 (or 56622081 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000010100101 its reverse (101001010000101), we get a palindrome (202001020100202).

The spelling of 101000010100101 in words is "one hundred one trillion, ten million, one hundred thousand, one hundred one".