100101011101001 has 4 divisors (see below), whose sum is σ = 101225741562900. Its totient is φ = 98976280639104.

The previous prime is 100101011100991. The next prime is 100101011101051. The reversal of 100101011101001 is 100101110101001.

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 6388640435776 + 93712370665225 = 2527576^2 + 9680515^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101011101001 - 2¹⁴ = 100101011084617 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 100101011101001.

It is not an unprimeable number, because it can be changed into a prime (100101011101051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 562365230816 + ... + 562365230993.

It is an arithmetic number, because the mean of its divisors is an integer number (25306435390725).

Almost surely, 2^{100101011101001} is an apocalyptic number.

It is an amenable number.

100101011101001 is a deficient number, since it is larger than the sum of its proper divisors (1124730461899).

100101011101001 is an equidigital number, since it uses as much as digits as its factorization.

100101011101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124730461898.

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

Adding to 100101011101001 its reverse (100101110101001), we get a palindrome (200202121202002).

The spelling of 100101011101001 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred one thousand, one".