101001001000101 has 4 divisors (see below), whose sum is σ = 134668001333472. Its totient is φ = 67334000666732.

The previous prime is 101001001000033. The next prime is 101001001000111. The reversal of 101001001000101 is 101000100100101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101001001000101 - 2⁷ = 101001000999973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101001001000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001001000111) 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 3 ways as a sum of consecutive naturals, for example, 16833500166681 + ... + 16833500166686.

It is an arithmetic number, because the mean of its divisors is an integer number (33667000333368).

Almost surely, 2^{101001001000101} is an apocalyptic number.

It is an amenable number.

101001001000101 is a deficient number, since it is larger than the sum of its proper divisors (33667000333371).

101001001000101 is an equidigital number, since it uses as much as digits as its factorization.

101001001000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33667000333370.

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

Adding to 101001001000101 its reverse (101000100100101), we get a palindrome (202001101100202).

The spelling of 101001001000101 in words is "one hundred one trillion, one billion, one million, one hundred one", and thus it is an aban number.