101011100011001 has 4 divisors (see below), whose sum is σ = 101011177804404. Its totient is φ = 101011022217600.

The previous prime is 101011100010979. The next prime is 101011100011057. The reversal of 101011100011001 is 100110001110101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 91307102475625 + 9703997535376 = 9555475^2 + 3115124^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011100011001 - 2²⁶ = 101011032902137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101011100011001.

It is not an unprimeable number, because it can be changed into a prime (101011100011061) 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 3 ways as a sum of consecutive naturals, for example, 36915380 + ... + 39557141.

It is an arithmetic number, because the mean of its divisors is an integer number (25252794451101).

Almost surely, 2^{101011100011001} is an apocalyptic number.

It is an amenable number.

101011100011001 is a deficient number, since it is larger than the sum of its proper divisors (77793403).

101011100011001 is an equidigital number, since it uses as much as digits as its factorization.

101011100011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77793402.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101011100011001 its reverse (100110001110101), we get a palindrome (201121101121102).

The spelling of 101011100011001 in words is "one hundred one trillion, eleven billion, one hundred million, eleven thousand, one".