100001011000001 has 4 divisors (see below), whose sum is σ = 100001122648404. Its totient is φ = 100000899351600.

The previous prime is 100001010999979. The next prime is 100001011000043. The reversal of 100001011000001 is 100000110100001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 77210507876401 + 22790503123600 = 8786951^2 + 4773940^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001011000001 - 2³⁴ = 99983831130817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001011000081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54469730 + ... + 56275691.

It is an arithmetic number, because the mean of its divisors is an integer number (25000280662101).

Almost surely, 2^{100001011000001} is an apocalyptic number.

It is an amenable number.

100001011000001 is a deficient number, since it is larger than the sum of its proper divisors (111648403).

100001011000001 is an equidigital number, since it uses as much as digits as its factorization.

100001011000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111648402.

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

Adding to 100001011000001 its reverse (100000110100001), we get a palindrome (200001121100002).

The spelling of 100001011000001 in words is "one hundred trillion, one billion, eleven million, one", and thus it is an aban number.