10001120000213 has 2 divisors, whose sum is σ = 10001120000214. Its totient is φ = 10001120000212.

The previous prime is 10001120000191. The next prime is 10001120000243. The reversal of 10001120000213 is 31200002110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9898939402564 + 102180597649 = 3146258^2 + 319657^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001120000213 - 2⁸ = 10001119999957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001120000194 and 10001120000203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001120000243) 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, 5000560000106 + 5000560000107.

It is an arithmetic number, because the mean of its divisors is an integer number (5000560000107).

Almost surely, 2^{10001120000213} is an apocalyptic number.

It is an amenable number.

10001120000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001120000213 is an equidigital number, since it uses as much as digits as its factorization.

10001120000213 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 10001120000213 its reverse (31200002110001), we get a palindrome (41201122110214).

The spelling of 10001120000213 in words is "ten trillion, one billion, one hundred twenty million, two hundred thirteen", and thus it is an aban number.