100000100100101 has 8 divisors (see below), whose sum is σ = 100019849445120. Its totient is φ = 99980351312688.

The previous prime is 100000100100071. The next prime is 100000100100161. The reversal of 100000100100101 is 101001001000001.

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

It is a cyclic number.

It is not a de Polignac number, because 100000100100101 - 2²² = 100000095905797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000100100161) 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, 635742875 + ... + 635900151.

It is an arithmetic number, because the mean of its divisors is an integer number (12502481180640).

Almost surely, 2^{100000100100101} is an apocalyptic number.

It is an amenable number.

100000100100101 is a deficient number, since it is larger than the sum of its proper divisors (19749345019).

100000100100101 is a wasteful number, since it uses less digits than its factorization.

100000100100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278803.

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

Adding to 100000100100101 its reverse (101001001000001), we get a palindrome (201001101100102).

The spelling of 100000100100101 in words is "one hundred trillion, one hundred million, one hundred thousand, one hundred one".