101212201012001 has 2 divisors, whose sum is σ = 101212201012002. Its totient is φ = 101212201012000.

The previous prime is 101212201011989. The next prime is 101212201012063. The reversal of 101212201012001 is 100210102212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72845115454225 + 28367085557776 = 8534935^2 + 5326076^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212201012001 - 2⁴² = 96814154500897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101212201012301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606100506000 + 50606100506001.

It is an arithmetic number, because the mean of its divisors is an integer number (50606100506001).

Almost surely, 2^{101212201012001} is an apocalyptic number.

It is an amenable number.

101212201012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212201012001 is an equidigital number, since it uses as much as digits as its factorization.

101212201012001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101212201012001 its reverse (100210102212101), we get a palindrome (201422303224102).

The spelling of 101212201012001 in words is "one hundred one trillion, two hundred twelve billion, two hundred one million, twelve thousand, one".