10101111011153 has 2 divisors, whose sum is σ = 10101111011154. Its totient is φ = 10101111011152.

The previous prime is 10101111011143. The next prime is 10101111011213. The reversal of 10101111011153 is 35111011110101.

10101111011153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9782932661824 + 318178349329 = 3127768^2 + 564073^2 .

It is an emirp because it is prime and its reverse (35111011110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101111011153 - 2²⁸ = 10100842575697 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101111011143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050555505576 + 5050555505577.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555505577).

Almost surely, 2^{10101111011153} is an apocalyptic number.

It is an amenable number.

10101111011153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101111011153 is an equidigital number, since it uses as much as digits as its factorization.

10101111011153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15, while the sum is 17.

Adding to 10101111011153 its reverse (35111011110101), we get a palindrome (45212122121254).

The spelling of 10101111011153 in words is "ten trillion, one hundred one billion, one hundred eleven million, eleven thousand, one hundred fifty-three".