20100112200211 has 2 divisors, whose sum is σ = 20100112200212. Its totient is φ = 20100112200210.

The previous prime is 20100112200191. The next prime is 20100112200257. The reversal of 20100112200211 is 11200221100102.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 20100112200211 - 2¹⁷ = 20100112069139 is a prime.

It is a super-3 number, since 3×20100112200211³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20100112200191 and 20100112200200.

It is not a weakly prime, because it can be changed into another prime (20100112200811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050056100105 + 10050056100106.

It is an arithmetic number, because the mean of its divisors is an integer number (10050056100106).

Almost surely, 2^{20100112200211} is an apocalyptic number.

20100112200211 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100112200211 is an equidigital number, since it uses as much as digits as its factorization.

20100112200211 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 20100112200211 its reverse (11200221100102), we get a palindrome (31300333300313).

The spelling of 20100112200211 in words is "twenty trillion, one hundred billion, one hundred twelve million, two hundred thousand, two hundred eleven".