100002222200001 has 12 divisors (see below), whose sum is σ = 146559730607696. Its totient is φ = 60607407393720.

The previous prime is 100002222199903. The next prime is 100002222200033.

100002222200001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100002222200001 - 2¹⁸ = 100002221937857 is a prime.

It is a super-5 number, since 5×100002222200001⁵ (a number of 71 digits) contains 55555 as substring.

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 100002222200001.

It is not an unprimeable number, because it can be changed into a prime (100002222200081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137744107351 + ... + 137744108076.

Almost surely, 2^{100002222200001} is an apocalyptic number.

100002222200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100002222200001 is a deficient number, since it is larger than the sum of its proper divisors (46557508407695).

100002222200001 is a wasteful number, since it uses less digits than its factorization.

100002222200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275488215452 (or 275488215441 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The spelling of 100002222200001 in words is "one hundred trillion, two billion, two hundred twenty-two million, two hundred thousand, one".