100101000010001 has 4 divisors (see below), whose sum is σ = 100122421157412. Its totient is φ = 100079578862592.

The previous prime is 100101000009977. The next prime is 100101000010007. The reversal of 100101000010001 is 100010000101001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 46215196926976 + 53885803083025 = 6798176^2 + 7340695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101000010001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101000010007) 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, 10710566696 + ... + 10710576041.

It is an arithmetic number, because the mean of its divisors is an integer number (25030605289353).

Almost surely, 2^{100101000010001} is an apocalyptic number.

It is an amenable number.

100101000010001 is a deficient number, since it is larger than the sum of its proper divisors (21421147411).

100101000010001 is an equidigital number, since it uses as much as digits as its factorization.

100101000010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21421147410.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100101000010001 its reverse (100010000101001), we get a palindrome (200111000111002).

The spelling of 100101000010001 in words is "one hundred trillion, one hundred one billion, ten thousand, one".