100002122122211 has 8 divisors (see below), whose sum is σ = 100334646775440. Its totient is φ = 99669641527008.

The previous prime is 100002122122193. The next prime is 100002122122219. The reversal of 100002122122211 is 112221221200001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100002122122211 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100002122122211.

It is not an unprimeable number, because it can be changed into a prime (100002122122219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6464276 + ... + 15549633.

It is an arithmetic number, because the mean of its divisors is an integer number (12541830846930).

Almost surely, 2^{100002122122211} is an apocalyptic number.

100002122122211 is a deficient number, since it is larger than the sum of its proper divisors (332524653229).

100002122122211 is a wasteful number, since it uses less digits than its factorization.

100002122122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22029013.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100002122122211 its reverse (112221221200001), we get a palindrome (212223343322212).

The spelling of 100002122122211 in words is "one hundred trillion, two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred eleven".