2121102004 has 36 divisors (see below), whose sum is σ = 4388768580. Its totient is φ = 894136320.

The previous prime is 2121102001. The next prime is 2121102041. The reversal of 2121102004 is 4002011212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 889232400 + 1231869604 = 29820^2 + 35098^2 .

It is a super-4 number, since 4×2121102004⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121102001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 76749 + ... + 100660.

Almost surely, 2^2121102004 is an apocalyptic number.

It is an amenable number.

2121102004 is an abundant number, since it is smaller than the sum of its proper divisors (2267666576).

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

2121102004 is a wasteful number, since it uses less digits than its factorization.

2121102004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177488 (or 177479 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2121102004 is about 46055.4231768638. The cubic root of 2121102004 is about 1284.8542086561.

Adding to 2121102004 its reverse (4002011212), we get a palindrome (6123113216).

The spelling of 2121102004 in words is "two billion, one hundred twenty-one million, one hundred two thousand, four".