100101010011001 has 16 divisors (see below), whose sum is σ = 100374139934208. Its totient is φ = 99828312832000.

The previous prime is 100101010010999. The next prime is 100101010011011. The reversal of 100101010011001 is 100110010101001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100101010011001 - 2¹ = 100101010010999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101010011011) 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 15 ways as a sum of consecutive naturals, for example, 2070188841 + ... + 2070237193.

It is an arithmetic number, because the mean of its divisors is an integer number (6273383745888).

Almost surely, 2^{100101010011001} is an apocalyptic number.

It is an amenable number.

100101010011001 is a deficient number, since it is larger than the sum of its proper divisors (273129923207).

100101010011001 is a wasteful number, since it uses less digits than its factorization.

100101010011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52712.

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

Adding to 100101010011001 its reverse (100110010101001), we get a palindrome (200211020112002).

It can be divided in two parts, 10010101001 and 1001, that multiplied together give a palindrome (10020111102001).

The spelling of 100101010011001 in words is "one hundred trillion, one hundred one billion, ten million, eleven thousand, one".