2102121000111 has 8 divisors (see below), whose sum is σ = 3057630545664. Its totient is φ = 1274012727320.

The previous prime is 2102121000017. The next prime is 2102121000121. The reversal of 2102121000111 is 1110001212012.

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 2102121000111 - 2¹⁴ = 2102120983727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102121000121) 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, 31850318151 + ... + 31850318216.

It is an arithmetic number, because the mean of its divisors is an integer number (382203818208).

Almost surely, 2^{2102121000111} is an apocalyptic number.

2102121000111 is a deficient number, since it is larger than the sum of its proper divisors (955509545553).

2102121000111 is a wasteful number, since it uses less digits than its factorization.

2102121000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63700636381.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2102121000111 its reverse (1110001212012), we get a palindrome (3212122212123).

The spelling of 2102121000111 in words is "two trillion, one hundred two billion, one hundred twenty-one million, one hundred eleven", and thus it is an aban number.