10332122112101 has 2 divisors, whose sum is σ = 10332122112102. Its totient is φ = 10332122112100.

The previous prime is 10332122112077. The next prime is 10332122112139. The reversal of 10332122112101 is 10121122123301.

10332122112101 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., 5738065721476 + 4594056390625 = 2395426^2 + 2143375^2 .

It is a cyclic number.

It is not a de Polignac number, because 10332122112101 - 2¹⁴ = 10332122095717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10332122112701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5166061056050 + 5166061056051.

It is an arithmetic number, because the mean of its divisors is an integer number (5166061056051).

Almost surely, 2^{10332122112101} is an apocalyptic number.

It is an amenable number.

10332122112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10332122112101 is an equidigital number, since it uses as much as digits as its factorization.

10332122112101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10332122112101 its reverse (10121122123301), we get a palindrome (20453244235402).

The spelling of 10332122112101 in words is "ten trillion, three hundred thirty-two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred one".