10245854201 has 24 divisors (see below), whose sum is σ = 11401029192. Its totient is φ = 9199872000.

The previous prime is 10245854167. The next prime is 10245854207.

10245854201 is nontrivially palindromic in base 10.

10245854201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9757488400 + 488365801 = 98780^2 + 22099^2 .

It is not a de Polignac number, because 10245854201 - 2²⁶ = 10178745337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10245854207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7050791 + ... + 7052243.

It is an arithmetic number, because the mean of its divisors is an integer number (475042883).

Almost surely, 2^10245854201 is an apocalyptic number.

10245854201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10245854201 is a deficient number, since it is larger than the sum of its proper divisors (1155174991).

10245854201 is a wasteful number, since it uses less digits than its factorization.

10245854201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The spelling of 10245854201 in words is "ten billion, two hundred forty-five million, eight hundred fifty-four thousand, two hundred one".