2122123100 has 72 divisors (see below), whose sum is σ = 4827430608. Its totient is φ = 808819200.

The previous prime is 2122123099. The next prime is 2122123181. The reversal of 2122123100 is 13212212.

It is a happy number.

It is a super-2 number, since 2×2122123100² = 9006812903107220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170282 + ... + 182318.

Almost surely, 2^2122123100 is an apocalyptic number.

2122123100 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 2122123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413715304).

2122123100 is an abundant number, since it is smaller than the sum of its proper divisors (2705307508).

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

2122123100 is a wasteful number, since it uses less digits than its factorization.

2122123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12135 (or 12128 counting only the distinct ones).

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

The square root of 2122123100 is about 46066.5073562127. The cubic root of 2122123100 is about 1285.0603513470.

Adding to 2122123100 its reverse (13212212), we get a palindrome (2135335312).

The spelling of 2122123100 in words is "two billion, one hundred twenty-two million, one hundred twenty-three thousand, one hundred".