10234034002241 has 32 divisors (see below), whose sum is σ = 12576023040000. Its totient is φ = 8131940272512.

The previous prime is 10234034002223. The next prime is 10234034002267. The reversal of 10234034002241 is 14220043043201.

10234034002241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10234034002241 - 2¹⁸ = 10234033740097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10234034002241.

It is not an unprimeable number, because it can be changed into a prime (10234034002211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32404310 + ... + 32718608.

It is an arithmetic number, because the mean of its divisors is an integer number (393000720000).

Almost surely, 2^{10234034002241} is an apocalyptic number.

It is an amenable number.

10234034002241 is a deficient number, since it is larger than the sum of its proper divisors (2341989037759).

10234034002241 is a wasteful number, since it uses less digits than its factorization.

10234034002241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319581.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10234034002241 its reverse (14220043043201), we get a palindrome (24454077045442).

The spelling of 10234034002241 in words is "ten trillion, two hundred thirty-four billion, thirty-four million, two thousand, two hundred forty-one".