10122311153 has 2 divisors, whose sum is σ = 10122311154. Its totient is φ = 10122311152.

The previous prime is 10122311113. The next prime is 10122311179. The reversal of 10122311153 is 35111322101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10086586624 + 35724529 = 100432^2 + 5977^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122311153 - 2¹⁸ = 10122049009 is a prime.

It is a super-2 number, since 2×10122311153² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10122311113) 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, 5061155576 + 5061155577.

It is an arithmetic number, because the mean of its divisors is an integer number (5061155577).

Almost surely, 2^10122311153 is an apocalyptic number.

It is an amenable number.

10122311153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122311153 is an equidigital number, since it uses as much as digits as its factorization.

10122311153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 10122311153 its reverse (35111322101), we get a palindrome (45233633254).

The spelling of 10122311153 in words is "ten billion, one hundred twenty-two million, three hundred eleven thousand, one hundred fifty-three".