10212120011011 has 2 divisors, whose sum is σ = 10212120011012. Its totient is φ = 10212120011010.

The previous prime is 10212120011003. The next prime is 10212120011047. The reversal of 10212120011011 is 11011002121201.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10212120011011 - 2³ = 10212120011003 is a prime.

It is a super-2 number, since 2×10212120011011² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10212120010982 and 10212120011000.

It is not a weakly prime, because it can be changed into another prime (10212120011111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106060005505 + 5106060005506.

It is an arithmetic number, because the mean of its divisors is an integer number (5106060005506).

Almost surely, 2^{10212120011011} is an apocalyptic number.

10212120011011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212120011011 is an equidigital number, since it uses as much as digits as its factorization.

10212120011011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10212120011011 its reverse (11011002121201), we get a palindrome (21223122132212).

The spelling of 10212120011011 in words is "ten trillion, two hundred twelve billion, one hundred twenty million, eleven thousand, eleven".