10000102100202 has 24 divisors (see below), whose sum is σ = 21667078332900. Its totient is φ = 3333338066880.

The previous prime is 10000102100171. The next prime is 10000102100207. The reversal of 10000102100202 is 20200120100001.

It can be written as a sum of positive squares in 2 ways, for example, as 9084672218241 + 915429881961 = 3014079^2 + 956781^2 .

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 (10000102100207) 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 11 ways as a sum of consecutive naturals, for example, 285499 + ... + 4481262.

Almost surely, 2^{10000102100202} is an apocalyptic number.

10000102100202 is an abundant number, since it is smaller than the sum of its proper divisors (11666976232698).

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

10000102100202 is a wasteful number, since it uses less digits than its factorization.

10000102100202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4883318 (or 4883315 counting only the distinct ones).

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

Adding to 10000102100202 its reverse (20200120100001), we get a palindrome (30200222200203).

The spelling of 10000102100202 in words is "ten trillion, one hundred two million, one hundred thousand, two hundred two".