101344522050 has 162 divisors, whose sum is σ = 279559298187. Its totient is φ = 26321077440.

The previous prime is 101344521997. The next prime is 101344522057. The reversal of 101344522050 is 50225443101.

101344522050 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 452 + 205 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 60898887729 + 40445634321 = 246777^2 + 201111^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=225105.

It is not an unprimeable number, because it can be changed into a prime (101344522057) 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 in 80 ways as a sum of consecutive naturals, for example, 290385276 + ... + 290385624.

Almost surely, 2^101344522050 is an apocalyptic number.

101344522050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101344522050

101344522050 is an abundant number, since it is smaller than the sum of its proper divisors (178214776137).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101344522050 is an equidigital number, since it uses as much as digits as its factorization.

101344522050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 101344522050 its reverse (50225443101), we get a palindrome (151569965151).

The spelling of 101344522050 in words is "one hundred one billion, three hundred forty-four million, five hundred twenty-two thousand, fifty".