100011122211 has 128 divisors (see below), whose sum is σ = 185310461952. Its totient is φ = 46298304000.

The previous prime is 100011122201. The next prime is 100011122251. The reversal of 100011122211 is 112221110001.

It is not a de Polignac number, because 100011122211 - 2⁹ = 100011121699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100011122201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14552106 + ... + 14558976.

It is an arithmetic number, because the mean of its divisors is an integer number (1447737984).

Almost surely, 2^100011122211 is an apocalyptic number.

100011122211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100011122211 is a deficient number, since it is larger than the sum of its proper divisors (85299339741).

100011122211 is a wasteful number, since it uses less digits than its factorization.

100011122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7073.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100011122211 its reverse (112221110001), we get a palindrome (212232232212).

It can be divided in two parts, 100011 and 122211, that added together give a palindrome (222222).

The spelling of 100011122211 in words is "one hundred billion, eleven million, one hundred twenty-two thousand, two hundred eleven".