100010000100001 has 16 divisors (see below), whose sum is σ = 106133850987840. Its totient is φ = 93912970754560.

The previous prime is 100010000099981. The next prime is 100010000100011. The reversal of 100010000100001 is 100001000010001.

It is a cyclic number.

It is not a de Polignac number, because 100010000100001 - 2⁹ = 100010000099489 is a prime.

It is a Duffinian number.

100010000100001 is a modest number, since divided by 100001 gives 10001 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100010000100011) 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, 58936146 + ... + 60609316.

It is an arithmetic number, because the mean of its divisors is an integer number (6633365686740).

Almost surely, 2^{100010000100001} is an apocalyptic number.

It is an amenable number.

100010000100001 is a deficient number, since it is larger than the sum of its proper divisors (6123850887839).

100010000100001 is a wasteful number, since it uses less digits than its factorization.

100010000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681184.

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

Adding to 100010000100001 its reverse (100001000010001), we get a palindrome (200011000110002).

It can be divided in two parts, 10001000010000 and 1, that added together give a palindrome (10001000010001).

The spelling of 100010000100001 in words is "one hundred trillion, ten billion, one hundred thousand, one".