100101101010001 has 24 divisors (see below), whose sum is σ = 125723748182760. Its totient is φ = 78997269722112.

The previous prime is 100101101009999. The next prime is 100101101010007. The reversal of 100101101010001 is 100010101101001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6757504230400 + 93343596779601 = 2599520^2 + 9661449^2 .

It is not a de Polignac number, because 100101101010001 - 2¹ = 100101101009999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (100101101010007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201737536 + ... + 202233121.

It is an arithmetic number, because the mean of its divisors is an integer number (5238489507615).

Almost surely, 2^{100101101010001} is an apocalyptic number.

It is an amenable number.

100101101010001 is a deficient number, since it is larger than the sum of its proper divisors (25622647172759).

100101101010001 is a wasteful number, since it uses less digits than its factorization.

100101101010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403971073 (or 403971066 counting only the distinct ones).

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

Adding to 100101101010001 its reverse (100010101101001), we get a palindrome (200111202111002).

The spelling of 100101101010001 in words is "one hundred trillion, one hundred one billion, one hundred one million, ten thousand, one".