101344341441024 has 480 divisors, whose sum is σ = 340113371083200. Its totient is φ = 28709889638400.

The previous prime is 101344341440941. The next prime is 101344341441071. The reversal of 101344341441024 is 420144143443101.

101344341441024 is a `hidden beast` number, since 1 + 0 + 134 + 4 + 3 + 414 + 4 + 102 + 4 = 666.

It is a super-2 number, since 2×101344341441024² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101344341441024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127998039 + ... + 128787369.

It is an arithmetic number, because the mean of its divisors is an integer number (708569523090).

Almost surely, 2^{101344341441024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101344341441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170056685541600).

101344341441024 is an abundant number, since it is smaller than the sum of its proper divisors (238769029642176).

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

101344341441024 is a wasteful number, since it uses less digits than its factorization.

101344341441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789532 (or 789513 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 101344341441024 its reverse (420144143443101), we get a palindrome (521488484884125).

The spelling of 101344341441024 in words is "one hundred one trillion, three hundred forty-four billion, three hundred forty-one million, four hundred forty-one thousand, twenty-four".