100111121153 has 2 divisors, whose sum is σ = 100111121154. Its totient is φ = 100111121152.

The previous prime is 100111121147. The next prime is 100111121167. The reversal of 100111121153 is 351121111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94588847809 + 5522273344 = 307553^2 + 74312^2 .

It is an emirp because it is prime and its reverse (351121111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100111121153 - 2⁴ = 100111121137 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111121053) 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, 50055560576 + 50055560577.

It is an arithmetic number, because the mean of its divisors is an integer number (50055560577).

Almost surely, 2^100111121153 is an apocalyptic number.

It is an amenable number.

100111121153 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111121153 is an equidigital number, since it uses as much as digits as its factorization.

100111121153 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 17.

Adding to 100111121153 its reverse (351121111001), we get a palindrome (451232232154).

The spelling of 100111121153 in words is "one hundred billion, one hundred eleven million, one hundred twenty-one thousand, one hundred fifty-three".