10103321212101 has 24 divisors (see below), whose sum is σ = 15717332893080. Its totient is φ = 6217010896896.

The previous prime is 10103321212099. The next prime is 10103321212111. The reversal of 10103321212101 is 10121212330101.

10103321212101 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 332 + 121 + 210 + 1 = 666.

10103321212101 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 4 ways, for example, as 4834505960001 + 5268815252100 = 2198751^2 + 2295390^2 .

It is not a de Polignac number, because 10103321212101 - 2¹ = 10103321212099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103321212111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1145436 + ... + 4638821.

It is an arithmetic number, because the mean of its divisors is an integer number (654888870545).

Almost surely, 2^{10103321212101} is an apocalyptic number.

It is an amenable number.

10103321212101 is a deficient number, since it is larger than the sum of its proper divisors (5614011680979).

10103321212101 is a wasteful number, since it uses less digits than its factorization.

10103321212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5799205 (or 5799202 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10103321212101 its reverse (10121212330101), we get a palindrome (20224533542202).

The spelling of 10103321212101 in words is "ten trillion, one hundred three billion, three hundred twenty-one million, two hundred twelve thousand, one hundred one".