2111200102109 has 24 divisors (see below), whose sum is σ = 2499393449280. Its totient is φ = 1746833461632.

The previous prime is 2111200102091. The next prime is 2111200102111. The reversal of 2111200102109 is 9012010021112.

It is not a de Polignac number, because 2111200102109 - 2²⁰ = 2111199053533 is a prime.

It is a super-2 number, since 2×2111200102109² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111200102129) 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 23 ways as a sum of consecutive naturals, for example, 30065162 + ... + 30135300.

It is an arithmetic number, because the mean of its divisors is an integer number (104141393720).

Almost surely, 2^{2111200102109} is an apocalyptic number.

2111200102109 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2111200102109 is a deficient number, since it is larger than the sum of its proper divisors (388193347171).

2111200102109 is an equidigital number, since it uses as much as digits as its factorization.

2111200102109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75317 (or 75288 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 2111200102109 in words is "two trillion, one hundred eleven billion, two hundred million, one hundred two thousand, one hundred nine".