10421021024001 has 144 divisors (see below), whose sum is σ = 17795358676368. Its totient is φ = 5858721792000.

The previous prime is 10421021023991. The next prime is 10421021024039. The reversal of 10421021024001 is 10042012012401.

10421021024001 is a `hidden beast` number, since 1 + 0 + 4 + 210 + 210 + 240 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1538713721601 + 8882307302400 = 1240449^2 + 2980320^2 .

It is not a de Polignac number, because 10421021024001 - 2¹¹ = 10421021021953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10421001024001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6055211821 + ... + 6055213541.

It is an arithmetic number, because the mean of its divisors is an integer number (123578879697).

Almost surely, 2^{10421021024001} is an apocalyptic number.

It is an amenable number.

10421021024001 is a deficient number, since it is larger than the sum of its proper divisors (7374337652367).

10421021024001 is a wasteful number, since it uses less digits than its factorization.

10421021024001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10421021024001 its reverse (10042012012401), we get a palindrome (20463033036402).

The spelling of 10421021024001 in words is "ten trillion, four hundred twenty-one billion, twenty-one million, twenty-four thousand, one".