101000001000001 has 16 divisors (see below), whose sum is σ = 102196740602880. Its totient is φ = 99807155884800.

The previous prime is 101000000999957. The next prime is 101000001000047. The reversal of 101000001000001 is 100000100000101.

It is a cyclic number.

It is not a de Polignac number, because 101000001000001 - 2¹¹ = 101000000997953 is a prime.

It is a Duffinian number.

101000001000001 is a modest number, since divided by 1000001 gives 101 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101000001000091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583266505 + ... + 583439641.

It is an arithmetic number, because the mean of its divisors is an integer number (6387296287680).

Almost surely, 2^{101000001000001} is an apocalyptic number.

It is an amenable number.

101000001000001 is a deficient number, since it is larger than the sum of its proper divisors (1196739602879).

101000001000001 is a wasteful number, since it uses less digits than its factorization.

101000001000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184344.

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

Adding to 101000001000001 its reverse (100000100000101), we get a palindrome (201000101000102).

The spelling of 101000001000001 in words is "one hundred one trillion, one million, one", and thus it is an aban number.