10010000121101 has 16 divisors (see below), whose sum is σ = 10538617412400. Its totient is φ = 9494024601600.

The previous prime is 10010000121083. The next prime is 10010000121119. The reversal of 10010000121101 is 10112100001001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10010000121083) and next prime (10010000121119).

It can be written as a sum of positive squares in 8 ways, for example, as 166884505225 + 9843115615876 = 408515^2 + 3137374^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010000121101 - 2³⁴ = 9992820251917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010000121131) 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, 2318810 + ... + 5039531.

It is an arithmetic number, because the mean of its divisors is an integer number (658663588275).

Almost surely, 2^{10010000121101} is an apocalyptic number.

It is an amenable number.

10010000121101 is a deficient number, since it is larger than the sum of its proper divisors (528617291299).

10010000121101 is an equidigital number, since it uses as much as digits as its factorization.

10010000121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7359200.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10010000121101 its reverse (10112100001001), we get a palindrome (20122100122102).

The spelling of 10010000121101 in words is "ten trillion, ten billion, one hundred twenty-one thousand, one hundred one".