10011212100121 has 64 divisors (see below), whose sum is σ = 10973708928000. Its totient is φ = 9112601272320.

The previous prime is 10011212100119. The next prime is 10011212100139. The reversal of 10011212100121 is 12100121211001.

It is a happy number.

It is not a de Polignac number, because 10011212100121 - 2¹ = 10011212100119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011212100101) 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 63 ways as a sum of consecutive naturals, for example, 1291265581 + ... + 1291273333.

It is an arithmetic number, because the mean of its divisors is an integer number (171464202000).

Almost surely, 2^{10011212100121} is an apocalyptic number.

It is an amenable number.

10011212100121 is a deficient number, since it is larger than the sum of its proper divisors (962496827879).

10011212100121 is a wasteful number, since it uses less digits than its factorization.

10011212100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8194.

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

Adding to 10011212100121 its reverse (12100121211001), we get a palindrome (22111333311122).

The spelling of 10011212100121 in words is "ten trillion, eleven billion, two hundred twelve million, one hundred thousand, one hundred twenty-one".