225741114101 has 2 divisors, whose sum is σ = 225741114102. Its totient is φ = 225741114100.

The previous prime is 225741114031. The next prime is 225741114143. The reversal of 225741114101 is 101411147522.

225741114101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174030808900 + 51710305201 = 417170^2 + 227399^2 .

It is a cyclic number.

It is not a de Polignac number, because 225741114101 - 2¹⁸ = 225740851957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225741174101) 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, 112870557050 + 112870557051.

It is an arithmetic number, because the mean of its divisors is an integer number (112870557051).

Almost surely, 2^225741114101 is an apocalyptic number.

It is an amenable number.

225741114101 is a deficient number, since it is larger than the sum of its proper divisors (1).

225741114101 is an equidigital number, since it uses as much as digits as its factorization.

225741114101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 29.

The spelling of 225741114101 in words is "two hundred twenty-five billion, seven hundred forty-one million, one hundred fourteen thousand, one hundred one".