10153262121193 has 2 divisors, whose sum is σ = 10153262121194. Its totient is φ = 10153262121192.

The previous prime is 10153262121169. The next prime is 10153262121217. The reversal of 10153262121193 is 39112126235101.

It is a balanced prime because it is at equal distance from previous prime (10153262121169) and next prime (10153262121217).

It can be written as a sum of positive squares in only one way, i.e., 9289834613929 + 863427507264 = 3047923^2 + 929208^2 .

It is a cyclic number.

It is not a de Polignac number, because 10153262121193 - 2⁵ = 10153262121161 is a prime.

It is not a weakly prime, because it can be changed into another prime (10153262121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5076631060596 + 5076631060597.

It is an arithmetic number, because the mean of its divisors is an integer number (5076631060597).

Almost surely, 2^{10153262121193} is an apocalyptic number.

It is an amenable number.

10153262121193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10153262121193 is an equidigital number, since it uses as much as digits as its factorization.

10153262121193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 37.

Adding to 10153262121193 its reverse (39112126235101), we get a palindrome (49265388356294).

The spelling of 10153262121193 in words is "ten trillion, one hundred fifty-three billion, two hundred sixty-two million, one hundred twenty-one thousand, one hundred ninety-three".