2111120100 has 108 divisors (see below), whose sum is σ = 6796138804. Its totient is φ = 547741440.

The previous prime is 2111120083. The next prime is 2111120149. The reversal of 2111120100 is 10211112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1004004 + 2110116096 = 1002^2 + 45936^2 .

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, 1602 + ... + 64998.

Almost surely, 2^2111120100 is an apocalyptic number.

2111120100 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 2111120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398069402).

2111120100 is an abundant number, since it is smaller than the sum of its proper divisors (4685018704).

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

2111120100 is a wasteful number, since it uses less digits than its factorization.

2111120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63454 (or 63444 counting only the distinct ones).

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

The square root of 2111120100 is about 45946.9269919110. The cubic root of 2111120100 is about 1282.8355311467.

Adding to 2111120100 its reverse (10211112), we get a palindrome (2121331212).

The spelling of 2111120100 in words is "two billion, one hundred eleven million, one hundred twenty thousand, one hundred".