10112012222121 has 6 divisors (see below), whose sum is σ = 14606239876410. Its totient is φ = 6741341481408.

The previous prime is 10112012222093. The next prime is 10112012222131. The reversal of 10112012222121 is 12122221021101.

It can be written as a sum of positive squares in only one way, i.e., 8126347955625 + 1985664266496 = 2850675^2 + 1409136^2 .

It is not a de Polignac number, because 10112012222121 - 2²⁵ = 10111978667689 is a prime.

It is a super-3 number, since 3×10112012222121³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10112012222094 and 10112012222103.

It is not an unprimeable number, because it can be changed into a prime (10112012222131) 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 5 ways as a sum of consecutive naturals, for example, 561778456776 + ... + 561778456793.

It is an arithmetic number, because the mean of its divisors is an integer number (2434373312735).

Almost surely, 2^{10112012222121} is an apocalyptic number.

It is an amenable number.

10112012222121 is a deficient number, since it is larger than the sum of its proper divisors (4494227654289).

10112012222121 is a wasteful number, since it uses less digits than its factorization.

10112012222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123556913575 (or 1123556913572 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10112012222121 its reverse (12122221021101), we get a palindrome (22234233243222).

The spelling of 10112012222121 in words is "ten trillion, one hundred twelve billion, twelve million, two hundred twenty-two thousand, one hundred twenty-one".