21141001224441 has 48 divisors (see below), whose sum is σ = 34995809806464. Its totient is φ = 12047224856832.

The previous prime is 21141001224437. The next prime is 21141001224461. The reversal of 21141001224441 is 14442210014112.

21141001224441 is a `hidden beast` number, since 2 + 1 + 1 + 410 + 0 + 1 + 2 + 244 + 4 + 1 = 666.

It is not a de Polignac number, because 21141001224441 - 2² = 21141001224437 is a prime.

It is a super-2 number, since 2×21141001224441² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21141001224461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105371166 + ... + 105571608.

It is an arithmetic number, because the mean of its divisors is an integer number (729079370968).

Almost surely, 2^{21141001224441} is an apocalyptic number.

21141001224441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21141001224441 is a deficient number, since it is larger than the sum of its proper divisors (13854808582023).

21141001224441 is a wasteful number, since it uses less digits than its factorization.

21141001224441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205070 (or 205067 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 21141001224441 its reverse (14442210014112), we get a palindrome (35583211238553).

The spelling of 21141001224441 in words is "twenty-one trillion, one hundred forty-one billion, one million, two hundred twenty-four thousand, four hundred forty-one".