10000121210211 has 64 divisors (see below), whose sum is σ = 15290893449216. Its totient is φ = 5758694457600.

The previous prime is 10000121210171. The next prime is 10000121210213. The reversal of 10000121210211 is 11201212100001.

It is not a de Polignac number, because 10000121210211 - 2¹¹ = 10000121208163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000121210213) 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 63 ways as a sum of consecutive naturals, for example, 19940440 + ... + 20435786.

It is an arithmetic number, because the mean of its divisors is an integer number (238920210144).

Almost surely, 2^{10000121210211} is an apocalyptic number.

10000121210211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000121210211 is a deficient number, since it is larger than the sum of its proper divisors (5290772239005).

10000121210211 is a wasteful number, since it uses less digits than its factorization.

10000121210211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495792.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10000121210211 its reverse (11201212100001), we get a palindrome (21201333310212).

The spelling of 10000121210211 in words is "ten trillion, one hundred twenty-one million, two hundred ten thousand, two hundred eleven".