10231121131201 has 2 divisors, whose sum is σ = 10231121131202. Its totient is φ = 10231121131200.

The previous prime is 10231121131183. The next prime is 10231121131403. The reversal of 10231121131201 is 10213112113201.

10231121131201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9865881000000 + 365240131201 = 3141000^2 + 604351^2 .

It is a cyclic number.

It is not a de Polignac number, because 10231121131201 - 2⁹ = 10231121130689 is a prime.

It is not a weakly prime, because it can be changed into another prime (10231121131001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5115560565600 + 5115560565601.

It is an arithmetic number, because the mean of its divisors is an integer number (5115560565601).

Almost surely, 2^{10231121131201} is an apocalyptic number.

It is an amenable number.

10231121131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10231121131201 is an equidigital number, since it uses as much as digits as its factorization.

10231121131201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 10231121131201 its reverse (10213112113201), we get a palindrome (20444233244402).

The spelling of 10231121131201 in words is "ten trillion, two hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-one thousand, two hundred one".