100020211110211 has 16 divisors (see below), whose sum is σ = 114497246891200. Its totient is φ = 85590288672768.

The previous prime is 100020211110167. The next prime is 100020211110223. The reversal of 100020211110211 is 112011112020001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100020211110211 - 2²³ = 100020202721603 is a prime.

It is a super-2 number, since 2×100020211110211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100020211110191 and 100020211110200.

It is not an unprimeable number, because it can be changed into a prime (100020211110251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304878955 + ... + 305206843.

It is an arithmetic number, because the mean of its divisors is an integer number (7156077930700).

Almost surely, 2^{100020211110211} is an apocalyptic number.

100020211110211 is a deficient number, since it is larger than the sum of its proper divisors (14477035780989).

100020211110211 is an equidigital number, since it uses as much as digits as its factorization.

100020211110211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399598.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100020211110211 its reverse (112011112020001), we get a palindrome (212031323130212).

The spelling of 100020211110211 in words is "one hundred trillion, twenty billion, two hundred eleven million, one hundred ten thousand, two hundred eleven".