100000020000001 has 9 divisors (see below), whose sum is σ = 109917498264609. Its totient is φ = 90909009090900.

The previous prime is 100000019999977. The next prime is 100000020000019.

The square root of 100000020000001 is 10000001.

It is a perfect power (a square), and thus also a powerful number.

100000020000001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100000020000001 - 2¹¹ = 100000019997953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100000020000061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 109545466 + ... + 110454556.

Almost surely, 2^{100000020000001} is an apocalyptic number.

100000020000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100000020000001 is the 10000001-st square number.

100000020000001 is the 5000001-st centered octagonal number.

It is an amenable number.

100000020000001 is a deficient number, since it is larger than the sum of its proper divisors (9917478264608).

100000020000001 is an frugal number, since it uses more digits than its factorization.

100000020000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818204 (or 909102 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The spelling of 100000020000001 in words is "one hundred trillion, twenty million, one", and thus it is an aban number.