10221414104001 has 8 divisors (see below), whose sum is σ = 13728030621984. Its totient is φ = 6764536827680.

The previous prime is 10221414103997. The next prime is 10221414104017. The reversal of 10221414104001 is 10040141412201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10221414104001 - 2² = 10221414103997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221414102001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12434809935 + ... + 12434810756.

It is an arithmetic number, because the mean of its divisors is an integer number (1716003827748).

Almost surely, 2^{10221414104001} is an apocalyptic number.

It is an amenable number.

10221414104001 is a deficient number, since it is larger than the sum of its proper divisors (3506616517983).

10221414104001 is a wasteful number, since it uses less digits than its factorization.

10221414104001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24869620831.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10221414104001 its reverse (10040141412201), we get a palindrome (20261555516202).

The spelling of 10221414104001 in words is "ten trillion, two hundred twenty-one billion, four hundred fourteen million, one hundred four thousand, one".