100212002000111 has 8 divisors (see below), whose sum is σ = 100503700851840. Its totient is φ = 99920319835608.

The previous prime is 100212002000069. The next prime is 100212002000177. The reversal of 100212002000111 is 111000200212001.

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

It is a cyclic number.

It is not a de Polignac number, because 100212002000111 - 2²⁶ = 100211934891247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212002000092 and 100212002000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212002000191) 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 7 ways as a sum of consecutive naturals, for example, 7907120 + ... + 16215626.

It is an arithmetic number, because the mean of its divisors is an integer number (12562962606480).

Almost surely, 2^{100212002000111} is an apocalyptic number.

100212002000111 is a deficient number, since it is larger than the sum of its proper divisors (291698851729).

100212002000111 is an equidigital number, since it uses as much as digits as its factorization.

100212002000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8343613.

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

Adding to 100212002000111 its reverse (111000200212001), we get a palindrome (211212202212112).

The spelling of 100212002000111 in words is "one hundred trillion, two hundred twelve billion, two million, one hundred eleven", and thus it is an aban number.