2100010010213 has 2 divisors, whose sum is σ = 2100010010214. Its totient is φ = 2100010010212.

The previous prime is 2100010010071. The next prime is 2100010010233. The reversal of 2100010010213 is 3120100100012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1063771520449 + 1036238489764 = 1031393^2 + 1017958^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100010010213 - 2¹² = 2100010006117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100010010194 and 2100010010203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100010010233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050005005106 + 1050005005107.

It is an arithmetic number, because the mean of its divisors is an integer number (1050005005107).

Almost surely, 2^{2100010010213} is an apocalyptic number.

It is an amenable number.

2100010010213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100010010213 is an equidigital number, since it uses as much as digits as its factorization.

2100010010213 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 2100010010213 its reverse (3120100100012), we get a palindrome (5220110110225).

The spelling of 2100010010213 in words is "two trillion, one hundred billion, ten million, ten thousand, two hundred thirteen".