2110330213002 has 144 divisors (see below), whose sum is σ = 5145027791904. Its totient is φ = 624341995200.

The previous prime is 2110330212931. The next prime is 2110330213007. The reversal of 2110330213002 is 2003120330112.

2110330213002 is a `hidden beast` number, since 2 + 1 + 10 + 330 + 21 + 300 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2110330213007) 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 71 ways as a sum of consecutive naturals, for example, 311208852 + ... + 311215632.

It is an arithmetic number, because the mean of its divisors is an integer number (35729359666).

Almost surely, 2^{2110330213002} is an apocalyptic number.

2110330213002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110330213002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572513895952).

2110330213002 is an abundant number, since it is smaller than the sum of its proper divisors (3034697578902).

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

2110330213002 is a wasteful number, since it uses less digits than its factorization.

2110330213002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10177 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2110330213002 its reverse (2003120330112), we get a palindrome (4113450543114).

The spelling of 2110330213002 in words is "two trillion, one hundred ten billion, three hundred thirty million, two hundred thirteen thousand, two".