100101000001 has 8 divisors (see below), whose sum is σ = 100892018304. Its totient is φ = 99310389360.

The previous prime is 100100999987. The next prime is 100101000011. The reversal of 100101000001 is 100000101001.

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 100101000001 - 2²⁹ = 99564129089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101000011) 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, 400875 + ... + 600751.

It is an arithmetic number, because the mean of its divisors is an integer number (12611502288).

Almost surely, 2^100101000001 is an apocalyptic number.

It is an amenable number.

100101000001 is a deficient number, since it is larger than the sum of its proper divisors (791018303).

100101000001 is a wasteful number, since it uses less digits than its factorization.

100101000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203831.

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

Adding to 100101000001 its reverse (100000101001), we get a palindrome (200101101002).

It can be divided in two parts, 100 and 101000001, that added together give a palindrome (101000101).

The spelling of 100101000001 in words is "one hundred billion, one hundred one million, one", and thus it is an aban number.