2123120100 has 144 divisors (see below), whose sum is σ = 6269598720. Its totient is φ = 554601600.

The previous prime is 2123120081. The next prime is 2123120113. The reversal of 2123120100 is 10213212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5601711 + ... + 5602089.

It is an arithmetic number, because the mean of its divisors is an integer number (43538880).

Almost surely, 2^2123120100 is an apocalyptic number.

2123120100 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 2123120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134799360).

2123120100 is an abundant number, since it is smaller than the sum of its proper divisors (4146478620).

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

2123120100 is a wasteful number, since it uses less digits than its factorization.

2123120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2123120100 is about 46077.3273964539. The cubic root of 2123120100 is about 1285.2615656530.

Adding to 2123120100 its reverse (10213212), we get a palindrome (2133333312).

The spelling of 2123120100 in words is "two billion, one hundred twenty-three million, one hundred twenty thousand, one hundred".