10111010221121 has 8 divisors (see below), whose sum is σ = 10310166314280. Its totient is φ = 9912164584192.

The previous prime is 10111010221111. The next prime is 10111010221133. The reversal of 10111010221121 is 12112201011101.

It can be written as a sum of positive squares in 4 ways, for example, as 4607200380721 + 5503809840400 = 2146439^2 + 2346020^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10111010221121 - 2¹⁰ = 10111010220097 is a prime.

It is a super-2 number, since 2×10111010221121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10111010221096 and 10111010221105.

It is not an unprimeable number, because it can be changed into a prime (10111010221111) 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, 77548280 + ... + 77678553.

It is an arithmetic number, because the mean of its divisors is an integer number (1288770789285).

Almost surely, 2^{10111010221121} is an apocalyptic number.

It is an amenable number.

10111010221121 is a deficient number, since it is larger than the sum of its proper divisors (199156093159).

10111010221121 is a wasteful number, since it uses less digits than its factorization.

10111010221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155228115.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10111010221121 its reverse (12112201011101), we get a palindrome (22223211232222).

The spelling of 10111010221121 in words is "ten trillion, one hundred eleven billion, ten million, two hundred twenty-one thousand, one hundred twenty-one".