10435332225121 has 2 divisors, whose sum is σ = 10435332225122. Its totient is φ = 10435332225120.

The previous prime is 10435332225091. The next prime is 10435332225151. The reversal of 10435332225121 is 12152223353401.

It is a balanced prime because it is at equal distance from previous prime (10435332225091) and next prime (10435332225151).

It can be written as a sum of positive squares in only one way, i.e., 9852912934225 + 582419290896 = 3138935^2 + 763164^2 .

It is an emirp because it is prime and its reverse (12152223353401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10435332225121 - 2⁴¹ = 8236308969569 is a prime.

It is not a weakly prime, because it can be changed into another prime (10435332225151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5217666112560 + 5217666112561.

It is an arithmetic number, because the mean of its divisors is an integer number (5217666112561).

Almost surely, 2^{10435332225121} is an apocalyptic number.

It is an amenable number.

10435332225121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10435332225121 is an equidigital number, since it uses as much as digits as its factorization.

10435332225121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 10435332225121 its reverse (12152223353401), we get a palindrome (22587555578522).

The spelling of 10435332225121 in words is "ten trillion, four hundred thirty-five billion, three hundred thirty-two million, two hundred twenty-five thousand, one hundred twenty-one".