100101320312211 has 48 divisors (see below), whose sum is σ = 152906797854720. Its totient is φ = 63001633968000.

The previous prime is 100101320312207. The next prime is 100101320312243. The reversal of 100101320312211 is 112213023101001.

100101320312211 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 1 + 320 + 312 + 21 + 1 = 666.

It is not a de Polignac number, because 100101320312211 - 2² = 100101320312207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101320312261) 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, 156154216 + ... + 156793946.

It is an arithmetic number, because the mean of its divisors is an integer number (3185558288640).

Almost surely, 2^{100101320312211} is an apocalyptic number.

100101320312211 is a deficient number, since it is larger than the sum of its proper divisors (52805477542509).

100101320312211 is a wasteful number, since it uses less digits than its factorization.

100101320312211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653488 (or 653485 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100101320312211 its reverse (112213023101001), we get a palindrome (212314343413212).

The spelling of 100101320312211 in words is "one hundred trillion, one hundred one billion, three hundred twenty million, three hundred twelve thousand, two hundred eleven".