100102212102201 has 16 divisors (see below), whose sum is σ = 134322014483520. Its totient is φ = 66308813568000.

The previous prime is 100102212102181. The next prime is 100102212102239. The reversal of 100102212102201 is 102201212201001.

It is not a de Polignac number, because 100102212102201 - 2¹⁷ = 100102211971129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100102212102241) 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 15 ways as a sum of consecutive naturals, for example, 23625616 + ... + 27538593.

It is an arithmetic number, because the mean of its divisors is an integer number (8395125905220).

Almost surely, 2^{100102212102201} is an apocalyptic number.

It is an amenable number.

100102212102201 is a deficient number, since it is larger than the sum of its proper divisors (34219802381319).

100102212102201 is a wasteful number, since it uses less digits than its factorization.

100102212102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51168376.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100102212102201 its reverse (102201212201001), we get a palindrome (202303424303202).

The spelling of 100102212102201 in words is "one hundred trillion, one hundred two billion, two hundred twelve million, one hundred two thousand, two hundred one".