100101001404001 has 8 divisors (see below), whose sum is σ = 107814805920360. Its totient is φ = 92389157956992.

The previous prime is 100101001403971. The next prime is 100101001404077. The reversal of 100101001404001 is 100404100101001.

It can be written as a sum of positive squares in 4 ways, for example, as 70199032401 + 100030802371600 = 264951^2 + 10001540^2 .

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

It is not a de Polignac number, because 100101001404001 - 2³¹ = 100098853920353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101001404091) 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, 490161316 + ... + 490365493.

It is an arithmetic number, because the mean of its divisors is an integer number (13476850740045).

Almost surely, 2^{100101001404001} is an apocalyptic number.

It is an amenable number.

100101001404001 is a deficient number, since it is larger than the sum of its proper divisors (7713804516359).

100101001404001 is an equidigital number, since it uses as much as digits as its factorization.

100101001404001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980534675.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100101001404001 its reverse (100404100101001), we get a palindrome (200505101505002).

The spelling of 100101001404001 in words is "one hundred trillion, one hundred one billion, one million, four hundred four thousand, one".