100010100010001 has 8 divisors (see below), whose sum is σ = 100103255915520. Its totient is φ = 99916947132912.

The previous prime is 100010100009979. The next prime is 100010100010049. The reversal of 100010100010001 is 100010001010001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010100010001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010100019001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68246570 + ... + 69696588.

It is an arithmetic number, because the mean of its divisors is an integer number (12512906989440).

Almost surely, 2^{100010100010001} is an apocalyptic number.

It is an amenable number.

100010100010001 is a deficient number, since it is larger than the sum of its proper divisors (93155905519).

100010100010001 is a wasteful number, since it uses less digits than its factorization.

100010100010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514215.

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

Adding to 100010100010001 its reverse (100010001010001), we get a palindrome (200020101020002).

The spelling of 100010100010001 in words is "one hundred trillion, ten billion, one hundred million, ten thousand, one".