100211012011 has 16 divisors (see below), whose sum is σ = 111195688320. Its totient is φ = 89539369920.

The previous prime is 100211012009. The next prime is 100211012023. The reversal of 100211012011 is 110210112001.

It is not a de Polignac number, because 100211012011 - 2¹ = 100211012009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211012051) 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 in 15 ways as a sum of consecutive naturals, for example, 4241116 + ... + 4264678.

It is an arithmetic number, because the mean of its divisors is an integer number (6949730520).

Almost surely, 2^100211012011 is an apocalyptic number.

100211012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211012011 is a deficient number, since it is larger than the sum of its proper divisors (10984676309).

100211012011 is a wasteful number, since it uses less digits than its factorization.

100211012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30186.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100211012011 its reverse (110210112001), we get a palindrome (210421124012).

The spelling of 100211012011 in words is "one hundred billion, two hundred eleven million, twelve thousand, eleven".