10120123213153 has 2 divisors, whose sum is σ = 10120123213154. Its totient is φ = 10120123213152.

The previous prime is 10120123213127. The next prime is 10120123213261. The reversal of 10120123213153 is 35131232102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7945052777809 + 2175070435344 = 2818697^2 + 1474812^2 .

It is an emirp because it is prime and its reverse (35131232102101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10120123213153 is a prime.

It is not a weakly prime, because it can be changed into another prime (10120123213103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060061606576 + 5060061606577.

It is an arithmetic number, because the mean of its divisors is an integer number (5060061606577).

Almost surely, 2^{10120123213153} is an apocalyptic number.

It is an amenable number.

10120123213153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120123213153 is an equidigital number, since it uses as much as digits as its factorization.

10120123213153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 10120123213153 its reverse (35131232102101), we get a palindrome (45251355315254).

The spelling of 10120123213153 in words is "ten trillion, one hundred twenty billion, one hundred twenty-three million, two hundred thirteen thousand, one hundred fifty-three".