20101012211121 has 8 divisors (see below), whose sum is σ = 26801482253760. Its totient is φ = 13400608487952.

The previous prime is 20101012211083. The next prime is 20101012211129. The reversal of 20101012211121 is 12111221010102.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 20101012211121 - 2⁶ = 20101012211057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20101012211121.

It is not an unprimeable number, because it can be changed into a prime (20101012211129) 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 7 ways as a sum of consecutive naturals, for example, 15868285 + ... + 17088138.

It is an arithmetic number, because the mean of its divisors is an integer number (3350185281720).

Almost surely, 2^{20101012211121} is an apocalyptic number.

It is an amenable number.

20101012211121 is a deficient number, since it is larger than the sum of its proper divisors (6700470042639).

20101012211121 is a wasteful number, since it uses less digits than its factorization.

20101012211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33159735.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 20101012211121 its reverse (12111221010102), we get a palindrome (32212233221223).

The spelling of 20101012211121 in words is "twenty trillion, one hundred one billion, twelve million, two hundred eleven thousand, one hundred twenty-one".