100122210212211 has 48 divisors (see below), whose sum is σ = 166076130055680. Its totient is φ = 57484981800000.

The previous prime is 100122210212209. The next prime is 100122210212231. The reversal of 100122210212211 is 112212012221001.

100122210212211 is a `hidden beast` number, since 10 + 0 + 1 + 22 + 210 + 212 + 211 = 666.

It is not a de Polignac number, because 100122210212211 - 2¹ = 100122210212209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100122210212231) 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 47 ways as a sum of consecutive naturals, for example, 75999541 + ... + 77305721.

It is an arithmetic number, because the mean of its divisors is an integer number (3459919376160).

Almost surely, 2^{100122210212211} is an apocalyptic number.

100122210212211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100122210212211 is a deficient number, since it is larger than the sum of its proper divisors (65953919843469).

100122210212211 is a wasteful number, since it uses less digits than its factorization.

100122210212211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346968 (or 1346965 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100122210212211 its reverse (112212012221001), we get a palindrome (212334222433212).

The spelling of 100122210212211 in words is "one hundred trillion, one hundred twenty-two billion, two hundred ten million, two hundred twelve thousand, two hundred eleven".