10221441205041 has 80 divisors (see below), whose sum is σ = 18138472862400. Its totient is φ = 5666398416000.

The previous prime is 10221441204971. The next prime is 10221441205081. The reversal of 10221441205041 is 14050214412201.

10221441205041 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 144 + 12 + 0 + 504 + 1 = 666.

It is not a de Polignac number, because 10221441205041 - 2⁹ = 10221441204529 is a prime.

It is a super-2 number, since 2×10221441205041² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10221441204996 and 10221441205014.

It is not an unprimeable number, because it can be changed into a prime (10221441205081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9919110 + ... + 10900991.

It is an arithmetic number, because the mean of its divisors is an integer number (226730910780).

Almost surely, 2^{10221441205041} is an apocalyptic number.

10221441205041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221441205041 is a deficient number, since it is larger than the sum of its proper divisors (7917031657359).

10221441205041 is a wasteful number, since it uses less digits than its factorization.

10221441205041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20820172 (or 20820163 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 10221441205041 its reverse (14050214412201), we get a palindrome (24271655617242).

The spelling of 10221441205041 in words is "ten trillion, two hundred twenty-one billion, four hundred forty-one million, two hundred five thousand, forty-one".