100002122000111 has 2 divisors, whose sum is σ = 100002122000112. Its totient is φ = 100002122000110.

The previous prime is 100002122000101. The next prime is 100002122000167. The reversal of 100002122000111 is 111000221200001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100002122000111 - 2⁶ = 100002122000047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100002122000092 and 100002122000101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100002122000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001061000055 + 50001061000056.

It is an arithmetic number, because the mean of its divisors is an integer number (50001061000056).

Almost surely, 2^{100002122000111} is an apocalyptic number.

100002122000111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002122000111 is an equidigital number, since it uses as much as digits as its factorization.

100002122000111 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100002122000111 its reverse (111000221200001), we get a palindrome (211002343200112).

The spelling of 100002122000111 in words is "one hundred trillion, two billion, one hundred twenty-two million, one hundred eleven", and thus it is an aban number.