2102121010111 has 8 divisors (see below), whose sum is σ = 2193572316384. Its totient is φ = 2010674265600.

The previous prime is 2102121010091. The next prime is 2102121010159. The reversal of 2102121010111 is 1110101212012.

It is a happy number.

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 2102121010111 - 2¹⁷ = 2102120879039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102121010091 and 2102121010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102121010181) 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, 181606 + ... + 2058451.

It is an arithmetic number, because the mean of its divisors is an integer number (274196539548).

Almost surely, 2^{2102121010111} is an apocalyptic number.

2102121010111 is a deficient number, since it is larger than the sum of its proper divisors (91451306273).

2102121010111 is a wasteful number, since it uses less digits than its factorization.

2102121010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280881.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2102121010111 its reverse (1110101212012), we get a palindrome (3212222222123).

The spelling of 2102121010111 in words is "two trillion, one hundred two billion, one hundred twenty-one million, ten thousand, one hundred eleven".