100211102212111 has 16 divisors (see below), whose sum is σ = 109339643496960. Its totient is φ = 91085635984320.

The previous prime is 100211102212073. The next prime is 100211102212141. The reversal of 100211102212111 is 111212201112001.

It is a cyclic number.

It is not a de Polignac number, because 100211102212111 - 2⁹ = 100211102211599 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211102212141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1999278696 + ... + 1999328818.

It is an arithmetic number, because the mean of its divisors is an integer number (6833727718560).

Almost surely, 2^{100211102212111} is an apocalyptic number.

100211102212111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211102212111 is a deficient number, since it is larger than the sum of its proper divisors (9128541284849).

100211102212111 is a wasteful number, since it uses less digits than its factorization.

100211102212111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77166.

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

Adding to 100211102212111 its reverse (111212201112001), we get a palindrome (211423303324112).

It can be divided in two parts, 10021110 and 2212111, that added together give a palindrome (12233221).

The spelling of 100211102212111 in words is "one hundred trillion, two hundred eleven billion, one hundred two million, two hundred twelve thousand, one hundred eleven".