202221122110121 has 8 divisors (see below), whose sum is σ = 206300297665800. Its totient is φ = 198166594141440.

The previous prime is 202221122110093. The next prime is 202221122110153. The reversal of 202221122110121 is 121011221122202.

202221122110121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26961651236521 + 175259470873600 = 5192461^2 + 13238560^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-202221122110121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202221122110093 and 202221122110102.

It is not an unprimeable number, because it can be changed into a prime (202221122170121) 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, 6161880176 + ... + 6161912993.

It is an arithmetic number, because the mean of its divisors is an integer number (25787537208225).

Almost surely, 2^{202221122110121} is an apocalyptic number.

It is an amenable number.

202221122110121 is a deficient number, since it is larger than the sum of its proper divisors (4079175555679).

202221122110121 is a wasteful number, since it uses less digits than its factorization.

202221122110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12323793499.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 202221122110121 its reverse (121011221122202), we get a palindrome (323232343232323).

The spelling of 202221122110121 in words is "two hundred two trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-one".