100201013312211 has 128 divisors (see below), whose sum is σ = 173869113600000. Its totient is φ = 55851098849280.

The previous prime is 100201013312201. The next prime is 100201013312233. The reversal of 100201013312211 is 112213310102001.

100201013312211 is a `hidden beast` number, since 1 + 0 + 0 + 20 + 101 + 331 + 2 + 211 = 666.

It is not a de Polignac number, because 100201013312211 - 2¹⁸ = 100201013050067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100201013312201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 906175335 + ... + 906285903.

It is an arithmetic number, because the mean of its divisors is an integer number (1358352450000).

Almost surely, 2^{100201013312211} is an apocalyptic number.

100201013312211 is a deficient number, since it is larger than the sum of its proper divisors (73668100287789).

100201013312211 is a wasteful number, since it uses less digits than its factorization.

100201013312211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111274 (or 111268 counting only the distinct ones).

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

Adding to 100201013312211 its reverse (112213310102001), we get a palindrome (212414323414212).

The spelling of 100201013312211 in words is "one hundred trillion, two hundred one billion, thirteen million, three hundred twelve thousand, two hundred eleven".