10012211211121 has 8 divisors (see below), whose sum is σ = 11474400435840. Its totient is φ = 8557990320768.

The previous prime is 10012211211113. The next prime is 10012211211221. The reversal of 10012211211121 is 12111211221001.

10012211211121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10012211211121 - 2³ = 10012211211113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012211211095 and 10012211211104.

It is not an unprimeable number, because it can be changed into a prime (10012211211221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1992080896 + ... + 1992085921.

It is an arithmetic number, because the mean of its divisors is an integer number (1434300054480).

Almost surely, 2^{10012211211121} is an apocalyptic number.

It is an amenable number.

10012211211121 is a deficient number, since it is larger than the sum of its proper divisors (1462189224719).

10012211211121 is an equidigital number, since it uses as much as digits as its factorization.

10012211211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984167183.

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

Adding to 10012211211121 its reverse (12111211221001), we get a palindrome (22123422432122).

It can be divided in two parts, 100 and 12211211121, that added together give a palindrome (12211211221).

The spelling of 10012211211121 in words is "ten trillion, twelve billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty-one".