10001111000101 has 8 divisors (see below), whose sum is σ = 10891443268440. Its totient is φ = 9128066737152.

The previous prime is 10001111000053. The next prime is 10001111000113. The reversal of 10001111000101 is 10100011110001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12989160900 + 9988121839201 = 113970^2 + 3160399^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10001111000101 - 2⁷ = 10001110999973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001111000171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4322000140 + ... + 4322002453.

It is an arithmetic number, because the mean of its divisors is an integer number (1361430408555).

Almost surely, 2^{10001111000101} is an apocalyptic number.

It is an amenable number.

10001111000101 is a deficient number, since it is larger than the sum of its proper divisors (890332268339).

10001111000101 is an equidigital number, since it uses as much as digits as its factorization.

10001111000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8644002695.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10001111000101 its reverse (10100011110001), we get a palindrome (20101122110102).

The spelling of 10001111000101 in words is "ten trillion, one billion, one hundred eleven million, one hundred one", and thus it is an aban number.