10414333420100 has 36 divisors (see below), whose sum is σ = 22660681540224. Its totient is φ = 4154382581280.

The previous prime is 10414333420061. The next prime is 10414333420133. The reversal of 10414333420100 is 102433341401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10414333420100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141847952 + ... + 141921351.

Almost surely, 2^{10414333420100} is an apocalyptic number.

10414333420100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414333420100 is an abundant number, since it is smaller than the sum of its proper divisors (12246348120124).

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

10414333420100 is a wasteful number, since it uses less digits than its factorization.

10414333420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283769684 (or 283769677 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10414333420100 its reverse (102433341401), we get a palindrome (10516766761501).

The spelling of 10414333420100 in words is "ten trillion, four hundred fourteen billion, three hundred thirty-three million, four hundred twenty thousand, one hundred".