100201212101101 has 2 divisors, whose sum is σ = 100201212101102. Its totient is φ = 100201212101100.

The previous prime is 100201212101063. The next prime is 100201212101119. The reversal of 100201212101101 is 101101212102001.

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., 57518967183876 + 42682244917225 = 7584126^2 + 6533165^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201212101101 - 2²⁷ = 100201077883373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201212101161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100606050550 + 50100606050551.

It is an arithmetic number, because the mean of its divisors is an integer number (50100606050551).

Almost surely, 2^{100201212101101} is an apocalyptic number.

It is an amenable number.

100201212101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201212101101 is an equidigital number, since it uses as much as digits as its factorization.

100201212101101 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 100201212101101 its reverse (101101212102001), we get a palindrome (201302424203102).

The spelling of 100201212101101 in words is "one hundred trillion, two hundred one billion, two hundred twelve million, one hundred one thousand, one hundred one".