2104114012 has 192 divisors, whose sum is σ = 5151218688. Its totient is φ = 731808000.

The previous prime is 2104114003. The next prime is 2104114027.

It is a happy number.

2104114012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2104114012² = 8854591550989472288, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 20832762 + ... + 20832862.

It is an arithmetic number, because the mean of its divisors is an integer number (26829264).

Almost surely, 2^2104114012 is an apocalyptic number.

2104114012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104114012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575609344).

2104114012 is an abundant number, since it is smaller than the sum of its proper divisors (3047104676).

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

2104114012 is a wasteful number, since it uses less digits than its factorization.

2104114012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2104114012 is about 45870.6225377420. The cubic root of 2104114012 is about 1281.4148604614.

It can be divided in two parts, 21041 and 14012, that added together give a palindrome (35053).

The spelling of 2104114012 in words is "two billion, one hundred four million, one hundred fourteen thousand, twelve".