10123412201 has 12 divisors (see below), whose sum is σ = 11783885652. Its totient is φ = 8671557888.

The previous prime is 10123412183. The next prime is 10123412231. The reversal of 10123412201 is 10221432101.

10123412201 is digitally balanced in base 2, 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 2 ways, for example, as 475458025 + 9647954176 = 21805^2 + 98224^2 .

It is not a de Polignac number, because 10123412201 - 2¹⁴ = 10123395817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10123412201.

It is not an unprimeable number, because it can be changed into a prime (10123412231) 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 11 ways as a sum of consecutive naturals, for example, 9581 + ... + 142613.

It is an arithmetic number, because the mean of its divisors is an integer number (981990471).

Almost surely, 2^10123412201 is an apocalyptic number.

It is an amenable number.

10123412201 is a deficient number, since it is larger than the sum of its proper divisors (1660473451).

10123412201 is a wasteful number, since it uses less digits than its factorization.

10123412201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134600 (or 134593 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10123412201 its reverse (10221432101), we get a palindrome (20344844302).

The spelling of 10123412201 in words is "ten billion, one hundred twenty-three million, four hundred twelve thousand, two hundred one".