100222001 has 12 divisors (see below), whose sum is σ = 112511616. Its totient is φ = 89167320.

The previous prime is 100221983. The next prime is 100222009.

100222001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100222001 - 2²² = 96027697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100222001.

It is not an unprimeable number, because it can be changed into a prime (100222009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3125 + ... + 14498.

It is an arithmetic number, because the mean of its divisors is an integer number (9375968).

Almost surely, 2^100222001 is an apocalyptic number.

100222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222001 is a deficient number, since it is larger than the sum of its proper divisors (12289615).

100222001 is a wasteful number, since it uses less digits than its factorization.

100222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17692 (or 17681 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 100222001 is about 10011.0938962733. The cubic root of 100222001 is about 464.5021086195.

The spelling of 100222001 in words is "one hundred million, two hundred twenty-two thousand, one".