100010111211 has 20 divisors (see below), whose sum is σ = 149407678200. Its totient is φ = 66669008256.

The previous prime is 100010111207. The next prime is 100010111213. The reversal of 100010111211 is 112111010001.

It is not a de Polignac number, because 100010111211 - 2² = 100010111207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100010111193 and 100010111202.

It is not an unprimeable number, because it can be changed into a prime (100010111213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1599780 + ... + 1661118.

It is an arithmetic number, because the mean of its divisors is an integer number (7470383910).

Almost surely, 2^100010111211 is an apocalyptic number.

100010111211 is a deficient number, since it is larger than the sum of its proper divisors (49397566989).

100010111211 is an equidigital number, since it uses as much as digits as its factorization.

100010111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81480 (or 81471 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100010111211 its reverse (112111010001), we get a palindrome (212121121212).

The spelling of 100010111211 in words is "one hundred billion, ten million, one hundred eleven thousand, two hundred eleven".