1002102113 has 2 divisors, whose sum is σ = 1002102114. Its totient is φ = 1002102112.

The previous prime is 1002102109. The next prime is 1002102121. The reversal of 1002102113 is 3112012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1001849104 + 253009 = 31652^2 + 503^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002102113 - 2² = 1002102109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002102094 and 1002102103.

It is not a weakly prime, because it can be changed into another prime (1002102133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501051056 + 501051057.

It is an arithmetic number, because the mean of its divisors is an integer number (501051057).

Almost surely, 2^1002102113 is an apocalyptic number.

It is an amenable number.

1002102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002102113 is an equidigital number, since it uses as much as digits as its factorization.

1002102113 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.

The square root of 1002102113 is about 31655.9964777607. The cubic root of 1002102113 is about 1000.7002139194.

Adding to 1002102113 its reverse (3112012001), we get a palindrome (4114114114).

The spelling of 1002102113 in words is "one billion, two million, one hundred two thousand, one hundred thirteen".