101001000000001 has 8 divisors (see below), whose sum is σ = 105392514435264. Its totient is φ = 96609499448880.

The previous prime is 101000999999917. The next prime is 101001000000007. The reversal of 101001000000001 is 100000000100101.

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 101001000000001 - 2¹⁵ = 101000999967233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001000000007) 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, 13071966 + ... + 19310056.

It is an arithmetic number, because the mean of its divisors is an integer number (13174064304408).

Almost surely, 2^{101001000000001} is an apocalyptic number.

It is an amenable number.

101001000000001 is a deficient number, since it is larger than the sum of its proper divisors (4391514435263).

101001000000001 is an equidigital number, since it uses as much as digits as its factorization.

101001000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6942071.

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

Adding to 101001000000001 its reverse (100000000100101), we get a palindrome (201001000100102).

The spelling of 101001000000001 in words is "one hundred one trillion, one billion, one", and thus it is an aban number.