2123002320100 has 216 divisors, whose sum is σ = 4869276736968. Its totient is φ = 803330457600.

The previous prime is 2123002320091. The next prime is 2123002320107. The reversal of 2123002320100 is 10232003212.

It can be written as a sum of positive squares in 12 ways, for example, as 5767794916 + 2117234525184 = 75946^2 + 1455072^2 .

It is a super-2 number, since 2×2123002320100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2123002320107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3312015780 + ... + 3312016420.

Almost surely, 2^{2123002320100} is an apocalyptic number.

2123002320100 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 2123002320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434638368484).

2123002320100 is an abundant number, since it is smaller than the sum of its proper divisors (2746274416868).

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

2123002320100 is a wasteful number, since it uses less digits than its factorization.

2123002320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2123002320100 its reverse (10232003212), we get a palindrome (2133234323312).

The spelling of 2123002320100 in words is "two trillion, one hundred twenty-three billion, two million, three hundred twenty thousand, one hundred".