100211211111011 has 24 divisors (see below), whose sum is σ = 135288600401664. Its totient is φ = 72079991998560.

The previous prime is 100211211110957. The next prime is 100211211111013. The reversal of 100211211111011 is 110111112112001.

It is not a de Polignac number, because 100211211111011 - 2⁶ = 100211211110947 is a prime.

It is a super-2 number, since 2×100211211111011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211211111013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3850413911 + ... + 3850439936.

It is an arithmetic number, because the mean of its divisors is an integer number (5637025016736).

Almost surely, 2^{100211211111011} is an apocalyptic number.

100211211111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211211111011 is a deficient number, since it is larger than the sum of its proper divisors (35077389290653).

100211211111011 is a wasteful number, since it uses less digits than its factorization.

100211211111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7700853891 (or 7700853878 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 100211211111011 its reverse (110111112112001), we get a palindrome (210322323223012).

The spelling of 100211211111011 in words is "one hundred trillion, two hundred eleven billion, two hundred eleven million, one hundred eleven thousand, eleven".