101144201344425 has 96 divisors (see below), whose sum is σ = 188053367564160. Its totient is φ = 53291072102400.

The previous prime is 101144201344321. The next prime is 101144201344429. The reversal of 101144201344425 is 524443102441101.

101144201344425 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 4 + 201 + 3 + 4 + 442 + 5 = 666.

It is not a de Polignac number, because 101144201344425 - 2¹⁹ = 101144200820137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101144201344425.

It is not an unprimeable number, because it can be changed into a prime (101144201344429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1877987097 + ... + 1878040953.

It is an arithmetic number, because the mean of its divisors is an integer number (1958889245460).

Almost surely, 2^{101144201344425} is an apocalyptic number.

101144201344425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101144201344425 is a deficient number, since it is larger than the sum of its proper divisors (86909166219735).

101144201344425 is a wasteful number, since it uses less digits than its factorization.

101144201344425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87480 (or 87469 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 101144201344425 its reverse (524443102441101), we get a palindrome (625587303785526).

The spelling of 101144201344425 in words is "one hundred one trillion, one hundred forty-four billion, two hundred one million, three hundred forty-four thousand, four hundred twenty-five".