10000100100001 has 16 divisors (see below), whose sum is σ = 11552190314688. Its totient is φ = 8555292748800.

The previous prime is 10000100099981. The next prime is 10000100100037.

10000100100001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10000100100001 - 2²¹ = 10000098002849 is a prime.

10000100100001 is a strobogrammatic number because it is the same when read upside-down.

It is a deceptive number, since it divides R_{10000100100000}.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000100100071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1241160 + ... + 4641193.

It is an arithmetic number, because the mean of its divisors is an integer number (722011894668).

Almost surely, 2^{10000100100001} is an apocalyptic number.

10000100100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000100100001 is a deficient number, since it is larger than the sum of its proper divisors (1552090214687).

10000100100001 is a wasteful number, since it uses less digits than its factorization.

10000100100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891472.

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

It can be divided in two parts, 10000100 and 100001, that multiplied together give a square (1000020000100 = 1000010²).

The spelling of 10000100100001 in words is "ten trillion, one hundred million, one hundred thousand, one".