100222211202201 has 12 divisors (see below), whose sum is σ = 157925908561200. Its totient is φ = 60740734061880.

The previous prime is 100222211202143. The next prime is 100222211202233. The reversal of 100222211202201 is 102202112222001.

It is a happy number.

100222211202201 is a `hidden beast` number, since 10 + 0 + 222 + 211 + 2 + 0 + 220 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-100222211202201 is a prime.

It is a super-2 number, since 2×100222211202201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100222211252201) 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, 506172783751 + ... + 506172783948.

It is an arithmetic number, because the mean of its divisors is an integer number (13160492380100).

Almost surely, 2^{100222211202201} is an apocalyptic number.

100222211202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222211202201 is a deficient number, since it is larger than the sum of its proper divisors (57703697358999).

100222211202201 is a wasteful number, since it uses less digits than its factorization.

100222211202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012345567716 (or 1012345567713 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100222211202201 its reverse (102202112222001), we get a palindrome (202424323424202).

The spelling of 100222211202201 in words is "one hundred trillion, two hundred twenty-two billion, two hundred eleven million, two hundred two thousand, two hundred one".