10348435207201 has 12 divisors (see below), whose sum is σ = 12963973776852. Its totient is φ = 8187772910688.

The previous prime is 10348435207183. The next prime is 10348435207249. The reversal of 10348435207201 is 10270253484301.

It can be written as a sum of positive squares in 2 ways, for example, as 1608128334400 + 8740306872801 = 1268120^2 + 2956401^2 .

It is not a de Polignac number, because 10348435207201 - 2²⁹ = 10347898336289 is a prime.

It is a super-2 number, since 2×10348435207201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10348435207261) 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 11 ways as a sum of consecutive naturals, for example, 8122789950 + ... + 8122791223.

It is an arithmetic number, because the mean of its divisors is an integer number (1080331148071).

Almost surely, 2^{10348435207201} is an apocalyptic number.

It is an amenable number.

10348435207201 is a deficient number, since it is larger than the sum of its proper divisors (2615538569651).

10348435207201 is a wasteful number, since it uses less digits than its factorization.

10348435207201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16245581200 (or 16245581193 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 10348435207201 in words is "ten trillion, three hundred forty-eight billion, four hundred thirty-five million, two hundred seven thousand, two hundred one".