100000010010001 has 16 divisors (see below), whose sum is σ = 106611846246400. Its totient is φ = 93523406792400.

The previous prime is 100000010009993. The next prime is 100000010010023. The reversal of 100000010010001 is 100010010000001.

It is a cyclic number.

It is not a de Polignac number, because 100000010010001 - 2³ = 100000010009993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100000010010091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4793656 + ... + 14932486.

It is an arithmetic number, because the mean of its divisors is an integer number (6663240390400).

Almost surely, 2^{100000010010001} is an apocalyptic number.

It is an amenable number.

100000010010001 is a deficient number, since it is larger than the sum of its proper divisors (6611836236399).

100000010010001 is a wasteful number, since it uses less digits than its factorization.

100000010010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10145500.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100000010010001 its reverse (100010010000001), we get a palindrome (200010020010002).

The spelling of 100000010010001 in words is "one hundred trillion, ten million, ten thousand, one".