100100101101001 has 4 divisors (see below), whose sum is σ = 100123170960400. Its totient is φ = 100077031241604.

The previous prime is 100100101100999. The next prime is 100100101101047. The reversal of 100100101101001 is 100101101001001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100100101101001 - 2¹ = 100100101100999 is a prime.

It is a super-2 number, since 2×100100101101001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100101101701) 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, 11534923191 + ... + 11534931868.

It is an arithmetic number, because the mean of its divisors is an integer number (25030792740100).

Almost surely, 2^{100100101101001} is an apocalyptic number.

It is an amenable number.

100100101101001 is a deficient number, since it is larger than the sum of its proper divisors (23069859399).

100100101101001 is an equidigital number, since it uses as much as digits as its factorization.

100100101101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23069859398.

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

Adding to 100100101101001 its reverse (100101101001001), we get a palindrome (200201202102002).

The spelling of 100100101101001 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred one thousand, one".