10100121301 has 16 divisors (see below), whose sum is σ = 10385334000. Its totient is φ = 9820096000.

The previous prime is 10100121271. The next prime is 10100121337. The reversal of 10100121301 is 10312100101.

10100121301 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 8 ways, for example, as 950242276 + 9149879025 = 30826^2 + 95655^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100121301 - 2⁷ = 10100121173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100121341) 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 15 ways as a sum of consecutive naturals, for example, 1335591 + ... + 1343131.

It is an arithmetic number, because the mean of its divisors is an integer number (649083375).

Almost surely, 2^10100121301 is an apocalyptic number.

It is an amenable number.

10100121301 is a deficient number, since it is larger than the sum of its proper divisors (285212699).

10100121301 is a wasteful number, since it uses less digits than its factorization.

10100121301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7880.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10100121301 its reverse (10312100101), we get a palindrome (20412221402).

The spelling of 10100121301 in words is "ten billion, one hundred million, one hundred twenty-one thousand, three hundred one".