10212120212081 has 2 divisors, whose sum is σ = 10212120212082. Its totient is φ = 10212120212080.

The previous prime is 10212120212039. The next prime is 10212120212123. The reversal of 10212120212081 is 18021202121201.

It is a balanced prime because it is at equal distance from previous prime (10212120212039) and next prime (10212120212123).

It can be written as a sum of positive squares in only one way, i.e., 7297643002225 + 2914477209856 = 2701415^2 + 1707184^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212120212081 - 2⁶ = 10212120212017 is a prime.

It is a super-2 number, since 2×10212120212081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10212120212681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106060106040 + 5106060106041.

It is an arithmetic number, because the mean of its divisors is an integer number (5106060106041).

Almost surely, 2^{10212120212081} is an apocalyptic number.

It is an amenable number.

10212120212081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212120212081 is an equidigital number, since it uses as much as digits as its factorization.

10212120212081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 10212120212081 its reverse (18021202121201), we get a palindrome (28233322333282).

The spelling of 10212120212081 in words is "ten trillion, two hundred twelve billion, one hundred twenty million, two hundred twelve thousand, eighty-one".