10420211202401 has 64 divisors (see below), whose sum is σ = 14497319692800. Its totient is φ = 7224553728000.

The previous prime is 10420211202391. The next prime is 10420211202407.

10420211202401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10420211202401 - 2³⁸ = 10145333295457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10420211202407) 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 63 ways as a sum of consecutive naturals, for example, 17147795 + ... + 17745063.

It is an arithmetic number, because the mean of its divisors is an integer number (226520620200).

Almost surely, 2^{10420211202401} is an apocalyptic number.

10420211202401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10420211202401 is a deficient number, since it is larger than the sum of its proper divisors (4077108490399).

10420211202401 is a wasteful number, since it uses less digits than its factorization.

10420211202401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597930.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 1042021 and 1202401, that added together give a palindrome (2244422).

The spelling of 10420211202401 in words is "ten trillion, four hundred twenty billion, two hundred eleven million, two hundred two thousand, four hundred one".