2123012100 has 144 divisors (see below), whose sum is σ = 6719569920. Its totient is φ = 513244800.

The previous prime is 2123012057. The next prime is 2123012107. The reversal of 2123012100 is 12103212.

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

It is not an unprimeable number, because it can be changed into a prime (2123012107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1659261 + ... + 1660539.

It is an arithmetic number, because the mean of its divisors is an integer number (46663680).

Almost surely, 2^2123012100 is an apocalyptic number.

2123012100 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 2123012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359784960).

2123012100 is an abundant number, since it is smaller than the sum of its proper divisors (4596557820).

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

2123012100 is a wasteful number, since it uses less digits than its factorization.

2123012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1803 counting only the distinct ones).

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

The square root of 2123012100 is about 46076.1554385780. The cubic root of 2123012100 is about 1285.2397721610.

Adding to 2123012100 its reverse (12103212), we get a palindrome (2135115312).

The spelling of 2123012100 in words is "two billion, one hundred twenty-three million, twelve thousand, one hundred".