10102002032113 has 16 divisors (see below), whose sum is σ = 10571646365776. Its totient is φ = 9644101263360.

The previous prime is 10102002032107. The next prime is 10102002032119. The reversal of 10102002032113 is 31123020020101.

It is an interprime number because it is at equal distance from previous prime (10102002032107) and next prime (10102002032119).

It can be written as a sum of positive squares in 8 ways, for example, as 53431709409 + 10048570322704 = 231153^2 + 3169948^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102002032113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102002032119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9168078 + ... + 10210663.

It is an arithmetic number, because the mean of its divisors is an integer number (660727897861).

Almost surely, 2^{10102002032113} is an apocalyptic number.

It is an amenable number.

10102002032113 is a deficient number, since it is larger than the sum of its proper divisors (469644333663).

10102002032113 is a wasteful number, since it uses less digits than its factorization.

10102002032113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19379044.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10102002032113 its reverse (31123020020101), we get a palindrome (41225022052214).

The spelling of 10102002032113 in words is "ten trillion, one hundred two billion, two million, thirty-two thousand, one hundred thirteen".