2103212123012 has 324 divisors, whose sum is σ = 5192688946788. Its totient is φ = 742053312000.

The previous prime is 2103212123011. The next prime is 2103212123087.

2103212123012 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 526518916 + 2102685604096 = 22946^2 + 1450064^2 .

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2103212123011) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 212419262 + ... + 212429162.

It is an arithmetic number, because the mean of its divisors is an integer number (16026817737).

Almost surely, 2^{2103212123012} is an apocalyptic number.

2103212123012 is a gapful number since it is divisible by the number (22) 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 2103212123012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596344473394).

2103212123012 is an abundant number, since it is smaller than the sum of its proper divisors (3089476823776).

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

2103212123012 is a wasteful number, since it uses less digits than its factorization.

2103212123012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10020 (or 9987 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 2103212123012 in words is "two trillion, one hundred three billion, two hundred twelve million, one hundred twenty-three thousand, twelve".