10421812401 has 108 divisors (see below), whose sum is σ = 19244944656. Its totient is φ = 4996031040.

The previous prime is 10421812381. The next prime is 10421812409.

10421812401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10421812401 - 2¹⁷ = 10421681329 is a prime.

It is a super-2 number, since 2×10421812401² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10421812409) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3004270 + ... + 3007736.

It is an arithmetic number, because the mean of its divisors is an integer number (178193932).

Almost surely, 2^10421812401 is an apocalyptic number.

10421812401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10421812401 is a deficient number, since it is larger than the sum of its proper divisors (8823132255).

10421812401 is a wasteful number, since it uses less digits than its factorization.

10421812401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 10421812401 in words is "ten billion, four hundred twenty-one million, eight hundred twelve thousand, four hundred one".