100101211311 has 16 divisors (see below), whose sum is σ = 133740011520. Its totient is φ = 66598404000.

The previous prime is 100101211297. The next prime is 100101211337. The reversal of 100101211311 is 113112101001.

It is not a de Polignac number, because 100101211311 - 2⁷ = 100101211183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101211351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3348850 + ... + 3378608.

It is an arithmetic number, because the mean of its divisors is an integer number (8358750720).

Almost surely, 2^100101211311 is an apocalyptic number.

100101211311 is a deficient number, since it is larger than the sum of its proper divisors (33638800209).

100101211311 is a wasteful number, since it uses less digits than its factorization.

100101211311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32006.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100101211311 its reverse (113112101001), we get a palindrome (213213312312).

The spelling of 100101211311 in words is "one hundred billion, one hundred one million, two hundred eleven thousand, three hundred eleven".