101441245825 has 6 divisors (see below), whose sum is σ = 125787144854. Its totient is φ = 81152996640.

The previous prime is 101441245793. The next prime is 101441245847. The reversal of 101441245825 is 528542144101.

It can be written as a sum of positive squares in 3 ways, for example, as 24074935921 + 77366309904 = 155161^2 + 278148^2 .

It is not a de Polignac number, because 101441245825 - 2⁵ = 101441245793 is a prime.

It is a super-3 number, since 3×101441245825³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 in 5 ways as a sum of consecutive naturals, for example, 2028824892 + ... + 2028824941.

Almost surely, 2^101441245825 is an apocalyptic number.

It is an amenable number.

101441245825 is a deficient number, since it is larger than the sum of its proper divisors (24345899029).

101441245825 is an equidigital number, since it uses as much as digits as its factorization.

101441245825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057649843 (or 4057649838 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 37.

Adding to 101441245825 its reverse (528542144101), we get a palindrome (629983389926).

The spelling of 101441245825 in words is "one hundred one billion, four hundred forty-one million, two hundred forty-five thousand, eight hundred twenty-five".