10202112122011 has 2 divisors, whose sum is σ = 10202112122012. Its totient is φ = 10202112122010.

The previous prime is 10202112121997. The next prime is 10202112122087. The reversal of 10202112122011 is 11022121120201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10202112122011 - 2¹⁵ = 10202112089243 is a prime.

It is not a weakly prime, because it can be changed into another prime (10202113122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101056061005 + 5101056061006.

It is an arithmetic number, because the mean of its divisors is an integer number (5101056061006).

Almost surely, 2^{10202112122011} is an apocalyptic number.

10202112122011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202112122011 is an equidigital number, since it uses as much as digits as its factorization.

10202112122011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10202112122011 its reverse (11022121120201), we get a palindrome (21224233242212).

The spelling of 10202112122011 in words is "ten trillion, two hundred two billion, one hundred twelve million, one hundred twenty-two thousand, eleven".