2123000100 has 216 divisors, whose sum is σ = 7414603560. Its totient is φ = 504483840.

The previous prime is 2123000029. The next prime is 2123000149. The reversal of 2123000100 is 10003212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 285677604 + 1837322496 = 16902^2 + 42864^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 336172 + ... + 342428.

Almost surely, 2^2123000100 is an apocalyptic number.

2123000100 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 2123000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707301780).

2123000100 is an abundant number, since it is smaller than the sum of its proper divisors (5291603460).

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

2123000100 is a wasteful number, since it uses less digits than its factorization.

2123000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6319 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2123000100 is about 46076.0252191962. The cubic root of 2123000100 is about 1285.2373506163.

Adding to 2123000100 its reverse (10003212), we get a palindrome (2133003312).

The spelling of 2123000100 in words is "two billion, one hundred twenty-three million, one hundred", and thus it is an aban number.