10232122123201 has 8 divisors (see below), whose sum is σ = 11163442555008. Its totient is φ = 9300989610000.

The previous prime is 10232122123199. The next prime is 10232122123231.

10232122123201 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 10232122123201 - 2¹ = 10232122123199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10232122123231) 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, 46865785 + ... + 47083606.

It is an arithmetic number, because the mean of its divisors is an integer number (1395430319376).

Almost surely, 2^{10232122123201} is an apocalyptic number.

10232122123201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10232122123201 is a deficient number, since it is larger than the sum of its proper divisors (931320431807).

10232122123201 is an equidigital number, since it uses as much as digits as its factorization.

10232122123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93959303.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 1023212 and 2123201, that added together give a palindrome (3146413).

The spelling of 10232122123201 in words is "ten trillion, two hundred thirty-two billion, one hundred twenty-two million, one hundred twenty-three thousand, two hundred one".