230022122001121 has 16 divisors (see below), whose sum is σ = 234756270418320. Its totient is φ = 225302742662400.

The previous prime is 230022122001071. The next prime is 230022122001149. The reversal of 230022122001121 is 121100221220032.

230022122001121 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 8 ways, for example, as 18699613733025 + 211322508268096 = 4324305^2 + 14536936^2 .

It is a cyclic number.

It is not a de Polignac number, because 230022122001121 - 2¹⁷ = 230022121870049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230022122041121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138245491 + ... + 139899463.

It is an arithmetic number, because the mean of its divisors is an integer number (14672266901145).

Almost surely, 2^{230022122001121} is an apocalyptic number.

It is an amenable number.

230022122001121 is a deficient number, since it is larger than the sum of its proper divisors (4734148417199).

230022122001121 is a wasteful number, since it uses less digits than its factorization.

230022122001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658436.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 230022122001121 its reverse (121100221220032), we get a palindrome (351122343221153).

It can be divided in two parts, 2300221220011 and 21, that added together give a palindrome (2300221220032).

The spelling of 230022122001121 in words is "two hundred thirty trillion, twenty-two billion, one hundred twenty-two million, one thousand, one hundred twenty-one".