100100101111001 has 8 divisors (see below), whose sum is σ = 100107676726344. Its totient is φ = 100092525811200.

The previous prime is 100100101110973. The next prime is 100100101111013. The reversal of 100100101111001 is 100111101001001.

It can be written as a sum of positive squares in 4 ways, for example, as 63997440025600 + 36102661085401 = 7999840^2 + 6008549^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100100101111001 - 2⁶ = 100100101110937 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 100100101111001.

It is not an unprimeable number, because it can be changed into a prime (100100101111061) 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, 1444056995 + ... + 1444126311.

It is an arithmetic number, because the mean of its divisors is an integer number (12513459590793).

Almost surely, 2^{100100101111001} is an apocalyptic number.

It is an amenable number.

100100101111001 is a deficient number, since it is larger than the sum of its proper divisors (7575615343).

100100101111001 is an equidigital number, since it uses as much as digits as its factorization.

100100101111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157771.

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

Adding to 100100101111001 its reverse (100111101001001), we get a palindrome (200211202112002).

The spelling of 100100101111001 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred eleven thousand, one".