414021101102321 has 4 divisors (see below), whose sum is σ = 414197957619444. Its totient is φ = 413844244585200.

The previous prime is 414021101102303. The next prime is 414021101102417. The reversal of 414021101102321 is 123201101120414.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 135283417699600 + 278737683402721 = 11631140^2 + 16695439^2 .

It is a cyclic number.

It is not a de Polignac number, because 414021101102321 - 2³⁴ = 414003921233137 is a prime.

It is a super-2 number, since 2×414021101102321² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414021106102321) 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 3 ways as a sum of consecutive naturals, for example, 88428255050 + ... + 88428259731.

It is an arithmetic number, because the mean of its divisors is an integer number (103549489404861).

Almost surely, 2^{414021101102321} is an apocalyptic number.

It is an amenable number.

414021101102321 is a deficient number, since it is larger than the sum of its proper divisors (176856517123).

414021101102321 is a wasteful number, since it uses less digits than its factorization.

414021101102321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176856517122.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 414021101102321 its reverse (123201101120414), we get a palindrome (537222202222735).

The spelling of 414021101102321 in words is "four hundred fourteen trillion, twenty-one billion, one hundred one million, one hundred two thousand, three hundred twenty-one".