1000102002113 has 2 divisors, whose sum is σ = 1000102002114. Its totient is φ = 1000102002112.

The previous prime is 1000102002091. The next prime is 1000102002331. The reversal of 1000102002113 is 3112002010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 800178553729 + 199923448384 = 894527^2 + 447128^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000102002113 - 2³⁰ = 999028260289 is a prime.

It is a super-3 number, since 3×1000102002113³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000102002094 and 1000102002103.

It is not a weakly prime, because it can be changed into another prime (1000192002113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500051001056 + 500051001057.

It is an arithmetic number, because the mean of its divisors is an integer number (500051001057).

Almost surely, 2^{1000102002113} is an apocalyptic number.

It is an amenable number.

1000102002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000102002113 is an equidigital number, since it uses as much as digits as its factorization.

1000102002113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1000102002113 its reverse (3112002010001), we get a palindrome (4112104012114).

The spelling of 1000102002113 in words is "one trillion, one hundred two million, two thousand, one hundred thirteen".