10211122221121 has 8 divisors (see below), whose sum is σ = 10540602169344. Its totient is φ = 9881647829760.

The previous prime is 10211122221089. The next prime is 10211122221149. The reversal of 10211122221121 is 12112222111201.

It is a happy number.

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 10211122221121 - 2⁵ = 10211122221089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211122221161) 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, 2519856 + ... + 5174158.

It is an arithmetic number, because the mean of its divisors is an integer number (1317575271168).

Almost surely, 2^{10211122221121} is an apocalyptic number.

It is an amenable number.

10211122221121 is a deficient number, since it is larger than the sum of its proper divisors (329479948223).

10211122221121 is a wasteful number, since it uses less digits than its factorization.

10211122221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778431.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 10211122221121 its reverse (12112222111201), we get a palindrome (22323344332322).

The spelling of 10211122221121 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty-one".