100010101111001 has 16 divisors (see below), whose sum is σ = 103365763892160. Its totient is φ = 96701560603200.

The previous prime is 100010101110977. The next prime is 100010101111007. The reversal of 100010101111001 is 100111101010001.

It is not a de Polignac number, because 100010101111001 - 2¹⁰ = 100010101109977 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 100010101111001.

It is not an unprimeable number, because it can be changed into a prime (100010101111007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25204106 + ... + 28900988.

It is an arithmetic number, because the mean of its divisors is an integer number (6460360243260).

Almost surely, 2^{100010101111001} is an apocalyptic number.

It is an amenable number.

100010101111001 is a deficient number, since it is larger than the sum of its proper divisors (3355662781159).

100010101111001 is a wasteful number, since it uses less digits than its factorization.

100010101111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703256.

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

Adding to 100010101111001 its reverse (100111101010001), we get a palindrome (200121202121002).

The spelling of 100010101111001 in words is "one hundred trillion, ten billion, one hundred one million, one hundred eleven thousand, one".