100101000111001 has 8 divisors (see below), whose sum is σ = 100472251588200. Its totient is φ = 99729855160320.

The previous prime is 100101000110989. The next prime is 100101000111029. The reversal of 100101000111001 is 100111000101001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53739880901001 + 46361119210000 = 7330749^2 + 6808900^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101000111001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101000141001) 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, 24748536 + ... + 28507753.

It is an arithmetic number, because the mean of its divisors is an integer number (12559031448525).

Almost surely, 2^{100101000111001} is an apocalyptic number.

It is an amenable number.

100101000111001 is a deficient number, since it is larger than the sum of its proper divisors (371251477199).

100101000111001 is an equidigital number, since it uses as much as digits as its factorization.

100101000111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53263259.

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

Adding to 100101000111001 its reverse (100111000101001), we get a palindrome (200212000212002).

It can be divided in two parts, 100101000 and 111001, that added together give a palindrome (100212001).

The spelling of 100101000111001 in words is "one hundred trillion, one hundred one billion, one hundred eleven thousand, one".