2012121100 has 108 divisors (see below), whose sum is σ = 4831331400. Its totient is φ = 726809600.

The previous prime is 2012121077. The next prime is 2012121107. The reversal of 2012121100 is 11212102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2012121107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2165436 + ... + 2166364.

It is an arithmetic number, because the mean of its divisors is an integer number (44734550).

Almost surely, 2^2012121100 is an apocalyptic number.

2012121100 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 2012121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415665700).

2012121100 is an abundant number, since it is smaller than the sum of its proper divisors (2819210300).

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

2012121100 is a wasteful number, since it uses less digits than its factorization.

2012121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2012121100 is about 44856.6728592302. The cubic root of 2012121100 is about 1262.4611967292.

Adding to 2012121100 its reverse (11212102), we get a palindrome (2023333202).

The spelling of 2012121100 in words is "two billion, twelve million, one hundred twenty-one thousand, one hundred".