10221340154401 has 2 divisors, whose sum is σ = 10221340154402. Its totient is φ = 10221340154400.

The previous prime is 10221340154381. The next prime is 10221340154413. The reversal of 10221340154401 is 10445104312201.

It is a happy number.

10221340154401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9404035560000 + 817304594401 = 3066600^2 + 904049^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221340154401 - 2²⁵ = 10221306599969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10221340154401.

It is not a weakly prime, because it can be changed into another prime (10221340155401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110670077200 + 5110670077201.

It is an arithmetic number, because the mean of its divisors is an integer number (5110670077201).

Almost surely, 2^{10221340154401} is an apocalyptic number.

It is an amenable number.

10221340154401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221340154401 is an equidigital number, since it uses as much as digits as its factorization.

10221340154401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 10221340154401 its reverse (10445104312201), we get a palindrome (20666444466602).

The spelling of 10221340154401 in words is "ten trillion, two hundred twenty-one billion, three hundred forty million, one hundred fifty-four thousand, four hundred one".