10222201111121 has 8 divisors (see below), whose sum is σ = 10823565871944. Its totient is φ = 9620842885120.

The previous prime is 10222201111039. The next prime is 10222201111139. The reversal of 10222201111121 is 12111110222201.

It can be written as a sum of positive squares in 4 ways, for example, as 7470464236225 + 2751736874896 = 2733215^2 + 1658836^2 .

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 10222201111121 - 2²⁶ = 10222134002257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10222201111121.

It is not an unprimeable number, because it can be changed into a prime (10222201111721) 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, 1792121 + ... + 4863753.

It is an arithmetic number, because the mean of its divisors is an integer number (1352945733993).

Almost surely, 2^{10222201111121} is an apocalyptic number.

It is an amenable number.

10222201111121 is a deficient number, since it is larger than the sum of its proper divisors (601364760823).

10222201111121 is a wasteful number, since it uses less digits than its factorization.

10222201111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267411.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10222201111121 its reverse (12111110222201), we get a palindrome (22333311333322).

The spelling of 10222201111121 in words is "ten trillion, two hundred twenty-two billion, two hundred one million, one hundred eleven thousand, one hundred twenty-one".