10012211121 has 64 divisors (see below), whose sum is σ = 15528775680. Its totient is φ = 5678576640.

The previous prime is 10012211113. The next prime is 10012211141. The reversal of 10012211121 is 12111221001.

10012211121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10012211121 - 2³ = 10012211113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012211097 and 10012211106.

It is not an unprimeable number, because it can be changed into a prime (10012211141) 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 63 ways as a sum of consecutive naturals, for example, 7590100 + ... + 7591418.

It is an arithmetic number, because the mean of its divisors is an integer number (242637120).

Almost surely, 2^10012211121 is an apocalyptic number.

10012211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012211121 is a deficient number, since it is larger than the sum of its proper divisors (5516564559).

10012211121 is a wasteful number, since it uses less digits than its factorization.

10012211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566.

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

Adding to 10012211121 its reverse (12111221001), we get a palindrome (22123432122).

It can be divided in two parts, 1001 and 2211121, that added together give a palindrome (2212122).

The spelling of 10012211121 in words is "ten billion, twelve million, two hundred eleven thousand, one hundred twenty-one".