10100011100213 has 2 divisors, whose sum is σ = 10100011100214. Its totient is φ = 10100011100212.

The previous prime is 10100011100197. The next prime is 10100011100233. The reversal of 10100011100213 is 31200111000101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6776452398244 + 3323558701969 = 2603162^2 + 1823063^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100011100213 - 2⁴ = 10100011100197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100011100194 and 10100011100203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100011100233) 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, 5050005550106 + 5050005550107.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005550107).

Almost surely, 2^{10100011100213} is an apocalyptic number.

It is an amenable number.

10100011100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100011100213 is an equidigital number, since it uses as much as digits as its factorization.

10100011100213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10100011100213 its reverse (31200111000101), we get a palindrome (41300122100314).

The spelling of 10100011100213 in words is "ten trillion, one hundred billion, eleven million, one hundred thousand, two hundred thirteen".