2110121100 has 108 divisors (see below), whose sum is σ = 6792922864. Its totient is φ = 547482240.

The previous prime is 2110121087. The next prime is 2110121149. The reversal of 2110121100 is 11210112.

It is a happy number.

It is a super-2 number, since 2×2110121100² = 8905222113330420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1617 + ... + 64983.

Almost surely, 2^2110121100 is an apocalyptic number.

2110121100 is a gapful number since it is divisible by the number (20) 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 2110121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396461432).

2110121100 is an abundant number, since it is smaller than the sum of its proper divisors (4682801764).

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

2110121100 is a wasteful number, since it uses less digits than its factorization.

2110121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63424 (or 63414 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2110121100 is about 45936.0544670523. The cubic root of 2110121100 is about 1282.6331496564.

Adding to 2110121100 its reverse (11210112), we get a palindrome (2121331212).

The spelling of 2110121100 in words is "two billion, one hundred ten million, one hundred twenty-one thousand, one hundred".