212012002010101 has 2 divisors, whose sum is σ = 212012002010102. Its totient is φ = 212012002010100.

The previous prime is 212012002010059. The next prime is 212012002010131. The reversal of 212012002010101 is 101010200210212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157909357307601 + 54102644702500 = 12566199^2 + 7355450^2 .

It is a cyclic number.

It is not a de Polignac number, because 212012002010101 - 2¹⁵ = 212012001977333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212012002010131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106006001005050 + 106006001005051.

It is an arithmetic number, because the mean of its divisors is an integer number (106006001005051).

Almost surely, 2^{212012002010101} is an apocalyptic number.

It is an amenable number.

212012002010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212012002010101 is an equidigital number, since it uses as much as digits as its factorization.

212012002010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212012002010101 its reverse (101010200210212), we get a palindrome (313022202220313).

The spelling of 212012002010101 in words is "two hundred twelve trillion, twelve billion, two million, ten thousand, one hundred one".