10201241013444 has 72 divisors (see below), whose sum is σ = 27834179587032. Its totient is φ = 3131594265600.

The previous prime is 10201241013401. The next prime is 10201241013487. The reversal of 10201241013444 is 44431014210201.

10201241013444 is a `hidden beast` number, since 1 + 0 + 201 + 2 + 4 + 1 + 0 + 13 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (10201241013401) and next prime (10201241013487).

It can be written as a sum of positive squares in 4 ways, for example, as 656848653444 + 9544392360000 = 810462^2 + 3089400^2 .

It is a super-2 number, since 2×10201241013444² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 24967707 + ... + 25372994.

Almost surely, 2^{10201241013444} is an apocalyptic number.

It is an amenable number.

10201241013444 is an abundant number, since it is smaller than the sum of its proper divisors (17632938573588).

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

10201241013444 is a wasteful number, since it uses less digits than its factorization.

10201241013444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50341157 (or 50341152 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10201241013444 its reverse (44431014210201), we get a palindrome (54632255223645).

The spelling of 10201241013444 in words is "ten trillion, two hundred one billion, two hundred forty-one million, thirteen thousand, four hundred forty-four".