100010200010213 has 2 divisors, whose sum is σ = 100010200010214. Its totient is φ = 100010200010212.

The previous prime is 100010200010207. The next prime is 100010200010251. The reversal of 100010200010213 is 312010002010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100006360101124 + 3839909089 = 10000318^2 + 61967^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010200010213 - 2¹² = 100010200006117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010200010194 and 100010200010203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010200012213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005100005106 + 50005100005107.

It is an arithmetic number, because the mean of its divisors is an integer number (50005100005107).

Almost surely, 2^{100010200010213} is an apocalyptic number.

It is an amenable number.

100010200010213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010200010213 is an equidigital number, since it uses as much as digits as its factorization.

100010200010213 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 100010200010213 its reverse (312010002010001), we get a palindrome (412020202020214).

The spelling of 100010200010213 in words is "one hundred trillion, ten billion, two hundred million, ten thousand, two hundred thirteen".