2121007104 has 228 divisors, whose sum is σ = 6543101760. Its totient is φ = 660602880.

The previous prime is 2121007099. The next prime is 2121007111. The reversal of 2121007104 is 4017001212.

It is a super-2 number, since 2×2121007104² = 8997342270436933632, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68419569 + ... + 68419599.

Almost surely, 2^2121007104 is an apocalyptic number.

2121007104 is a gapful number since it is divisible by the number (24) 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 2121007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271550880).

2121007104 is an abundant number, since it is smaller than the sum of its proper divisors (4422094656).

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

2121007104 is an frugal number, since it uses more digits than its factorization.

2121007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2121007104 is about 46054.3928849355. The cubic root of 2121007104 is about 1284.8350465283.

Adding to 2121007104 its reverse (4017001212), we get a palindrome (6138008316).

The spelling of 2121007104 in words is "two billion, one hundred twenty-one million, seven thousand, one hundred four".