2102124110004 has 216 divisors, whose sum is σ = 5869093164480. Its totient is φ = 632146443264.

The previous prime is 2102124109957. The next prime is 2102124110071. The reversal of 2102124110004 is 4000114212012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71527497 + ... + 71556879.

Almost surely, 2^{2102124110004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102124110004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934546582240).

2102124110004 is an abundant number, since it is smaller than the sum of its proper divisors (3766969054476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2102124110004 is a wasteful number, since it uses less digits than its factorization.

2102124110004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29607 (or 29573 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2102124110004 its reverse (4000114212012), we get a palindrome (6102238322016).

The spelling of 2102124110004 in words is "two trillion, one hundred two billion, one hundred twenty-four million, one hundred ten thousand, four".