2141122100 has 72 divisors (see below), whose sum is σ = 5014449888. Its totient is φ = 788860800.

The previous prime is 2141122099. The next prime is 2141122111. The reversal of 2141122100 is 12211412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709595 + ... + 712605.

Almost surely, 2^2141122100 is an apocalyptic number.

2141122100 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 2141122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507224944).

2141122100 is an abundant number, since it is smaller than the sum of its proper divisors (2873327788).

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

2141122100 is a wasteful number, since it uses less digits than its factorization.

2141122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2141122100 is about 46272.2605888236. The cubic root of 2141122100 is about 1288.8839374507.

Adding to 2141122100 its reverse (12211412), we get a palindrome (2153333512).

The spelling of 2141122100 in words is "two billion, one hundred forty-one million, one hundred twenty-two thousand, one hundred".