212011102011001 has 2 divisors, whose sum is σ = 212011102011002. Its totient is φ = 212011102011000.

The previous prime is 212011102010969. The next prime is 212011102011011. The reversal of 212011102011001 is 100110201110212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190216919367225 + 21794182643776 = 13791915^2 + 4668424^2 .

It is a cyclic number.

It is not a de Polignac number, because 212011102011001 - 2⁵ = 212011102010969 is a prime.

It is not a weakly prime, because it can be changed into another prime (212011102011011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106005551005500 + 106005551005501.

It is an arithmetic number, because the mean of its divisors is an integer number (106005551005501).

Almost surely, 2^{212011102011001} is an apocalyptic number.

It is an amenable number.

212011102011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011102011001 is an equidigital number, since it uses as much as digits as its factorization.

212011102011001 is an evil number, because the sum of its binary digits is even.

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

Adding to 212011102011001 its reverse (100110201110212), we get a palindrome (312121303121213).

The spelling of 212011102011001 in words is "two hundred twelve trillion, eleven billion, one hundred two million, eleven thousand, one".