10000121211211 has 16 divisors (see below), whose sum is σ = 10241712835200. Its totient is φ = 9760619756160.

The previous prime is 10000121211149. The next prime is 10000121211229. The reversal of 10000121211211 is 11211212100001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10000121211211 - 2⁴³ = 1204028189003 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000121211191 and 10000121211200.

It is not an unprimeable number, because it can be changed into a prime (10000121215211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7345021 + ... + 8599393.

It is an arithmetic number, because the mean of its divisors is an integer number (640107052200).

Almost surely, 2^{10000121211211} is an apocalyptic number.

10000121211211 is a deficient number, since it is larger than the sum of its proper divisors (241591623989).

10000121211211 is a wasteful number, since it uses less digits than its factorization.

10000121211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255206.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10000121211211 its reverse (11211212100001), we get a palindrome (21211333311212).

The spelling of 10000121211211 in words is "ten trillion, one hundred twenty-one million, two hundred eleven thousand, two hundred eleven".