100222111000001 has 16 divisors (see below), whose sum is σ = 105100801592400. Its totient is φ = 95438334071808.

The previous prime is 100222110999971. The next prime is 100222111000007. The reversal of 100222111000001 is 100000111222001.

It can be written as a sum of positive squares in 8 ways, for example, as 7977150628225 + 92244960371776 = 2824385^2 + 9604424^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222111000001 - 2³⁴ = 100204931130817 is a prime.

It is a super-5 number, since 5×100222111000001⁵ (a number of 71 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100222111000007) 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, 91709315 + ... + 92795703.

It is an arithmetic number, because the mean of its divisors is an integer number (6568800099525).

Almost surely, 2^{100222111000001} is an apocalyptic number.

It is an amenable number.

100222111000001 is a deficient number, since it is larger than the sum of its proper divisors (4878690592399).

100222111000001 is a wasteful number, since it uses less digits than its factorization.

100222111000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130068.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100222111000001 its reverse (100000111222001), we get a palindrome (200222222222002).

The spelling of 100222111000001 in words is "one hundred trillion, two hundred twenty-two billion, one hundred eleven million, one", and thus it is an aban number.