2110120002210 has 128 divisors (see below), whose sum is σ = 5683846028544. Its totient is φ = 496854466560.

The previous prime is 2110120002209. The next prime is 2110120002223. The reversal of 2110120002210 is 122000210112.

It is a super-3 number, since 3×2110120002210³ (a number of 38 digits) contains 333 as substring.

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, 6895414 + ... + 7194926.

It is an arithmetic number, because the mean of its divisors is an integer number (44405047098).

Almost surely, 2^{2110120002210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110120002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841923014272).

2110120002210 is an abundant number, since it is smaller than the sum of its proper divisors (3573726026334).

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

2110120002210 is a wasteful number, since it uses less digits than its factorization.

2110120002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300148.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2110120002210 its reverse (122000210112), we get a palindrome (2232120212322).

The spelling of 2110120002210 in words is "two trillion, one hundred ten billion, one hundred twenty million, two thousand, two hundred ten".