100001000120001 has 32 divisors (see below), whose sum is σ = 138594814891008. Its totient is φ = 64080926712000.

The previous prime is 100001000119981. The next prime is 100001000120041. The reversal of 100001000120001 is 100021000100001.

It is not a de Polignac number, because 100001000120001 - 2⁷ = 100001000119873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100001000120041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200142450 + ... + 200641476.

It is an arithmetic number, because the mean of its divisors is an integer number (4331087965344).

Almost surely, 2^{100001000120001} is an apocalyptic number.

It is an amenable number.

100001000120001 is a deficient number, since it is larger than the sum of its proper divisors (38593814771007).

100001000120001 is a wasteful number, since it uses less digits than its factorization.

100001000120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520901.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100001000120001 its reverse (100021000100001), we get a palindrome (200022000220002).

It can be divided in two parts, 100001000 and 120001, that added together give a palindrome (100121001).

The spelling of 100001000120001 in words is "one hundred trillion, one billion, one hundred twenty thousand, one".