1010100020213 has 2 divisors, whose sum is σ = 1010100020214. Its totient is φ = 1010100020212.

The previous prime is 1010100020201. The next prime is 1010100020227. The reversal of 1010100020213 is 3120200010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 888377881444 + 121722138769 = 942538^2 + 348887^2 .

It is an emirp because it is prime and its reverse (3120200010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010100020213 - 2⁴ = 1010100020197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010100020194 and 1010100020203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010100020243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050010106 + 505050010107.

It is an arithmetic number, because the mean of its divisors is an integer number (505050010107).

Almost surely, 2^{1010100020213} is an apocalyptic number.

It is an amenable number.

1010100020213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100020213 is an equidigital number, since it uses as much as digits as its factorization.

1010100020213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1010100020213 its reverse (3120200010101), we get a palindrome (4130300030314).

The spelling of 1010100020213 in words is "one trillion, ten billion, one hundred million, twenty thousand, two hundred thirteen".