100212211212201 has 12 divisors (see below), whose sum is σ = 157910151001200. Its totient is φ = 60734673461880.

The previous prime is 100212211212173. The next prime is 100212211212241. The reversal of 100212211212201 is 102212112212001.

100212211212201 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 211 + 21 + 220 + 1 = 666.

It is not a de Polignac number, because 100212211212201 - 2⁴³ = 91416118189993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100212211212241) 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 11 ways as a sum of consecutive naturals, for example, 506122278751 + ... + 506122278948.

It is an arithmetic number, because the mean of its divisors is an integer number (13159179250100).

Almost surely, 2^{100212211212201} is an apocalyptic number.

100212211212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212211212201 is a deficient number, since it is larger than the sum of its proper divisors (57697939788999).

100212211212201 is a wasteful number, since it uses less digits than its factorization.

100212211212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012244557716 (or 1012244557713 counting only the distinct ones).

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

Adding to 100212211212201 its reverse (102212112212001), we get a palindrome (202424323424202).

The spelling of 100212211212201 in words is "one hundred trillion, two hundred twelve billion, two hundred eleven million, two hundred twelve thousand, two hundred one".