10002101013 has 24 divisors (see below), whose sum is σ = 14575173600. Its totient is φ = 6609393504.

The previous prime is 10002100993. The next prime is 10002101041. The reversal of 10002101013 is 31010120001.

10002101013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002101013 - 2³⁰ = 8928359189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10002100986 and 10002101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002141013) 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 23 ways as a sum of consecutive naturals, for example, 457158 + ... + 478536.

It is an arithmetic number, because the mean of its divisors is an integer number (607298900).

Almost surely, 2^10002101013 is an apocalyptic number.

It is an amenable number.

10002101013 is a deficient number, since it is larger than the sum of its proper divisors (4573072587).

10002101013 is a wasteful number, since it uses less digits than its factorization.

10002101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21841 (or 21838 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10002101013 its reverse (31010120001), we get a palindrome (41012221014).

The spelling of 10002101013 in words is "ten billion, two million, one hundred one thousand, thirteen".