100212211102211 has 8 divisors (see below), whose sum is σ = 107921089301424. Its totient is φ = 92503368128160.

The previous prime is 100212211102183. The next prime is 100212211102259. The reversal of 100212211102211 is 112201112212001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100212211102211 - 2¹⁴ = 100212211085827 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100212211102211.

It is not an unprimeable number, because it can be changed into a prime (100212211182211) 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 7 ways as a sum of consecutive naturals, for example, 2743016 + ... + 14420421.

It is an arithmetic number, because the mean of its divisors is an integer number (13490136162678).

Almost surely, 2^{100212211102211} is an apocalyptic number.

100212211102211 is a deficient number, since it is larger than the sum of its proper divisors (7708878199213).

100212211102211 is a wasteful number, since it uses less digits than its factorization.

100212211102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17612581.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100212211102211 its reverse (112201112212001), we get a palindrome (212413323314212).

The spelling of 100212211102211 in words is "one hundred trillion, two hundred twelve billion, two hundred eleven million, one hundred two thousand, two hundred eleven".