102110002000002 has 20 divisors (see below), whose sum is σ = 228802041518886. Its totient is φ = 34036667333280.

The previous prime is 102110001999947. The next prime is 102110002000003. The reversal of 102110002000002 is 200000200011201.

It can be written as a sum of positive squares in only one way, i.e., 73051875667521 + 29058126332481 = 8547039^2 + 5390559^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102110002000003) 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 in 9 ways as a sum of consecutive naturals, for example, 315154326999 + ... + 315154327322.

Almost surely, 2^{102110002000002} is an apocalyptic number.

102110002000002 is an abundant number, since it is smaller than the sum of its proper divisors (126692039518884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102110002000002 is an equidigital number, since it uses as much as digits as its factorization.

102110002000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630308654335 (or 630308654326 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102110002000002 its reverse (200000200011201), we get a palindrome (302110202011203).

The spelling of 102110002000002 in words is "one hundred two trillion, one hundred ten billion, two million, two", and thus it is an aban number.