10001121110021 has 4 divisors (see below), whose sum is σ = 10001128109100. Its totient is φ = 10001114110944.

The previous prime is 10001121110009. The next prime is 10001121110041. The reversal of 10001121110021 is 12001112110001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 579751279396 + 9421369830625 = 761414^2 + 3069425^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001121110021 - 2¹⁴ = 10001121093637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001121109984 and 10001121110011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001121110041) 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, 498056 + ... + 4500033.

It is an arithmetic number, because the mean of its divisors is an integer number (2500282027275).

Almost surely, 2^{10001121110021} is an apocalyptic number.

It is an amenable number.

10001121110021 is a deficient number, since it is larger than the sum of its proper divisors (6999079).

10001121110021 is an equidigital number, since it uses as much as digits as its factorization.

10001121110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999078.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10001121110021 its reverse (12001112110001), we get a palindrome (22002233220022).

The spelling of 10001121110021 in words is "ten trillion, one billion, one hundred twenty-one million, one hundred ten thousand, twenty-one".