20121011211121 has 24 divisors (see below), whose sum is σ = 21394937286240. Its totient is φ = 18919199242944.

The previous prime is 20121011211047. The next prime is 20121011211163. The reversal of 20121011211121 is 12111211012102.

It is not a de Polignac number, because 20121011211121 - 2¹⁵ = 20121011178353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20121011211095 and 20121011211104.

It is not an unprimeable number, because it can be changed into a prime (20121011217121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172206106 + ... + 172322908.

It is an arithmetic number, because the mean of its divisors is an integer number (891455720260).

Almost surely, 2^{20121011211121} is an apocalyptic number.

It is an amenable number.

20121011211121 is a deficient number, since it is larger than the sum of its proper divisors (1273926075119).

20121011211121 is a wasteful number, since it uses less digits than its factorization.

20121011211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120413 (or 120394 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 20121011211121 its reverse (12111211012102), we get a palindrome (32232222223223).

The spelling of 20121011211121 in words is "twenty trillion, one hundred twenty-one billion, eleven million, two hundred eleven thousand, one hundred twenty-one".