10401331121221 has 2 divisors, whose sum is σ = 10401331121222. Its totient is φ = 10401331121220.

The previous prime is 10401331121219. The next prime is 10401331121297. The reversal of 10401331121221 is 12212113310401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8707132116225 + 1694199004996 = 2950785^2 + 1301614^2 .

It is a cyclic number.

It is not a de Polignac number, because 10401331121221 - 2¹ = 10401331121219 is a prime.

Together with 10401331121219, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10401331121192 and 10401331121201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10401331124221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200665560610 + 5200665560611.

It is an arithmetic number, because the mean of its divisors is an integer number (5200665560611).

Almost surely, 2^{10401331121221} is an apocalyptic number.

It is an amenable number.

10401331121221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401331121221 is an equidigital number, since it uses as much as digits as its factorization.

10401331121221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 10401331121221 its reverse (12212113310401), we get a palindrome (22613444431622).

The spelling of 10401331121221 in words is "ten trillion, four hundred one billion, three hundred thirty-one million, one hundred twenty-one thousand, two hundred twenty-one".