100201210020211 has 2 divisors, whose sum is σ = 100201210020212. Its totient is φ = 100201210020210.

The previous prime is 100201210020173. The next prime is 100201210020287. The reversal of 100201210020211 is 112020012102001.

It is a weak prime.

It is an emirp because it is prime and its reverse (112020012102001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100201210020211 - 2²⁹ = 100200673149299 is a prime.

It is a super-2 number, since 2×100201210020211² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100201210020191 and 100201210020200.

It is not a weakly prime, because it can be changed into another prime (100201010020211) 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, 50100605010105 + 50100605010106.

It is an arithmetic number, because the mean of its divisors is an integer number (50100605010106).

Almost surely, 2^{100201210020211} is an apocalyptic number.

100201210020211 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201210020211 is an equidigital number, since it uses as much as digits as its factorization.

100201210020211 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 13.

Adding to 100201210020211 its reverse (112020012102001), we get a palindrome (212221222122212).

The spelling of 100201210020211 in words is "one hundred trillion, two hundred one billion, two hundred ten million, twenty thousand, two hundred eleven".