101001010000101 has 8 divisors (see below), whose sum is σ = 136001360000544. Its totient is φ = 66667333333200.

The previous prime is 101001010000097. The next prime is 101001010000129. The reversal of 101001010000101 is 101000010100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101001010000101 - 2² = 101001010000097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101001010000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001010000301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166668333031 + ... + 166668333636.

It is an arithmetic number, because the mean of its divisors is an integer number (17000170000068).

Almost surely, 2^{101001010000101} is an apocalyptic number.

It is an amenable number.

101001010000101 is a deficient number, since it is larger than the sum of its proper divisors (35000350000443).

101001010000101 is a wasteful number, since it uses less digits than its factorization.

101001010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333336666771.

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

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

The spelling of 101001010000101 in words is "one hundred one trillion, one billion, ten million, one hundred one", and thus it is an aban number.