10034214200841 has 8 divisors (see below), whose sum is σ = 13378999495680. Its totient is φ = 6689452519952.

The previous prime is 10034214200833. The next prime is 10034214200897. The reversal of 10034214200841 is 14800241243001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10034214200841 - 2³ = 10034214200833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10034214200799 and 10034214200808.

It is not an unprimeable number, because it can be changed into a prime (10034214200441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4886985 + ... + 6629558.

It is an arithmetic number, because the mean of its divisors is an integer number (1672374936960).

Almost surely, 2^{10034214200841} is an apocalyptic number.

It is an amenable number.

10034214200841 is a deficient number, since it is larger than the sum of its proper divisors (3344785294839).

10034214200841 is a wasteful number, since it uses less digits than its factorization.

10034214200841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11806975.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 10034214200841 its reverse (14800241243001), we get a palindrome (24834455443842).

The spelling of 10034214200841 in words is "ten trillion, thirty-four billion, two hundred fourteen million, two hundred thousand, eight hundred forty-one".