211101111001153 has 2 divisors, whose sum is σ = 211101111001154. Its totient is φ = 211101111001152.

The previous prime is 211101111001021. The next prime is 211101111001159. The reversal of 211101111001153 is 351100111101112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208303175674944 + 2797935326209 = 14432712^2 + 1672703^2 .

It is a cyclic number.

It is not a de Polignac number, because 211101111001153 - 2⁹ = 211101111000641 is a prime.

It is a super-2 number, since 2×211101111001153² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211101111001153.

It is not a weakly prime, because it can be changed into another prime (211101111001159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550555500576 + 105550555500577.

It is an arithmetic number, because the mean of its divisors is an integer number (105550555500577).

Almost surely, 2^{211101111001153} is an apocalyptic number.

It is an amenable number.

211101111001153 is a deficient number, since it is larger than the sum of its proper divisors (1).

211101111001153 is an equidigital number, since it uses as much as digits as its factorization.

211101111001153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 19.

Adding to 211101111001153 its reverse (351100111101112), we get a palindrome (562201222102265).

The spelling of 211101111001153 in words is "two hundred eleven trillion, one hundred one billion, one hundred eleven million, one thousand, one hundred fifty-three".