10010120213 has 2 divisors, whose sum is σ = 10010120214. Its totient is φ = 10010120212.

The previous prime is 10010120177. The next prime is 10010120299. The reversal of 10010120213 is 31202101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7921356004 + 2088764209 = 89002^2 + 45703^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010120213 - 2²⁶ = 9943011349 is a prime.

It is a super-2 number, since 2×10010120213² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010120194 and 10010120203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010120713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005060106 + 5005060107.

It is an arithmetic number, because the mean of its divisors is an integer number (5005060107).

Almost surely, 2^10010120213 is an apocalyptic number.

It is an amenable number.

10010120213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010120213 is an equidigital number, since it uses as much as digits as its factorization.

10010120213 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 10010120213 its reverse (31202101001), we get a palindrome (41212221214).

The spelling of 10010120213 in words is "ten billion, ten million, one hundred twenty thousand, two hundred thirteen".