2122132100 has 144 divisors (see below), whose sum is σ = 5351282496. Its totient is φ = 721920000.

The previous prime is 2122132057. The next prime is 2122132183. The reversal of 2122132100 is 12312212.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 5291900 + ... + 5292300.

It is an arithmetic number, because the mean of its divisors is an integer number (37161684).

Almost surely, 2^2122132100 is an apocalyptic number.

2122132100 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 2122132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675641248).

2122132100 is an abundant number, since it is smaller than the sum of its proper divisors (3229150396).

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

2122132100 is a wasteful number, since it uses less digits than its factorization.

2122132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2122132100 is about 46066.6050409622. The cubic root of 2122132100 is about 1285.0621680067.

Adding to 2122132100 its reverse (12312212), we get a palindrome (2134444312).

It can be divided in two parts, 212 and 2132100, that added together give a palindrome (2132312).

The spelling of 2122132100 in words is "two billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred".