10011001000101 has 32 divisors (see below), whose sum is σ = 14188101258240. Its totient is φ = 6260839432704.

The previous prime is 10011001000087. The next prime is 10011001000103. The reversal of 10011001000101 is 10100010011001.

It is not a de Polignac number, because 10011001000101 - 2⁶ = 10011001000037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10011001000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011001000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79412746 + ... + 79538708.

It is an arithmetic number, because the mean of its divisors is an integer number (443378164320).

Almost surely, 2^{10011001000101} is an apocalyptic number.

It is an amenable number.

10011001000101 is a deficient number, since it is larger than the sum of its proper divisors (4177100258139).

10011001000101 is a wasteful number, since it uses less digits than its factorization.

10011001000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139625.

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

Adding to 10011001000101 its reverse (10100010011001), we get a palindrome (20111011011102).

The spelling of 10011001000101 in words is "ten trillion, eleven billion, one million, one hundred one", and thus it is an aban number.