10201414214424 has 64 divisors (see below), whose sum is σ = 25865611511040. Its totient is φ = 3352205243520.

The previous prime is 10201414214423. The next prime is 10201414214489. The reversal of 10201414214424 is 42441241410201.

It is a junction number, because it is equal to n+sod(n) for n = 10201414214391 and 10201414214400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201414214423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15234879 + ... + 15890385.

It is an arithmetic number, because the mean of its divisors is an integer number (404150179860).

Almost surely, 2^{10201414214424} is an apocalyptic number.

It is an amenable number.

10201414214424 is an abundant number, since it is smaller than the sum of its proper divisors (15664197296616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201414214424 is a wasteful number, since it uses less digits than its factorization.

10201414214424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664720 (or 664716 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 10201414214424 its reverse (42441241410201), we get a palindrome (52642655624625).

The spelling of 10201414214424 in words is "ten trillion, two hundred one billion, four hundred fourteen million, two hundred fourteen thousand, four hundred twenty-four".