100212122111011 has 32 divisors (see below), whose sum is σ = 107576703936000. Its totient is φ = 93067520071680.

The previous prime is 100212122110873. The next prime is 100212122111053. The reversal of 100212122111011 is 110111221212001.

It is a cyclic number.

It is not a de Polignac number, because 100212122111011 - 2²³ = 100212113722403 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100212122111071) 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 31 ways as a sum of consecutive naturals, for example, 459396210 + ... + 459614296.

It is an arithmetic number, because the mean of its divisors is an integer number (3361771998000).

Almost surely, 2^{100212122111011} is an apocalyptic number.

100212122111011 is a deficient number, since it is larger than the sum of its proper divisors (7364581824989).

100212122111011 is a wasteful number, since it uses less digits than its factorization.

100212122111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219499.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 100212122111011 its reverse (110111221212001), we get a palindrome (210323343323012).

The spelling of 100212122111011 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-two million, one hundred eleven thousand, eleven".