2100121100 has 144 divisors (see below), whose sum is σ = 5737132800. Its totient is φ = 648211200.

The previous prime is 2100121081. The next prime is 2100121103. The reversal of 2100121100 is 11210012.

It is not an unprimeable number, because it can be changed into a prime (2100121103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822626 + ... + 825174.

It is an arithmetic number, because the mean of its divisors is an integer number (39841200).

Almost surely, 2^2100121100 is an apocalyptic number.

2100121100 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 2100121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868566400).

2100121100 is an abundant number, since it is smaller than the sum of its proper divisors (3637011700).

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

2100121100 is a wasteful number, since it uses less digits than its factorization.

2100121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2100121100 is about 45827.0782398355. The cubic root of 2100121100 is about 1280.6037800916.

Adding to 2100121100 its reverse (11210012), we get a palindrome (2111331112).

It can be divided in two parts, 210012 and 1100, that added together give a palindrome (211112).

The spelling of 2100121100 in words is "two billion, one hundred million, one hundred twenty-one thousand, one hundred".