12100010002120 has 32 divisors (see below), whose sum is σ = 27225174926520. Its totient is φ = 4839976903680.

The previous prime is 12100010002103. The next prime is 12100010002121. The reversal of 12100010002120 is 2120001000121.

It can be written as a sum of positive squares in 4 ways, for example, as 9768262678084 + 2331747324036 = 3125422^2 + 1527006^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12100010002097 and 12100010002106.

It is not an unprimeable number, because it can be changed into a prime (12100010002121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7372000 + ... + 8862640.

Almost surely, 2^{12100010002120} is an apocalyptic number.

12100010002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100010002120 is an abundant number, since it is smaller than the sum of its proper divisors (15125164924400).

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

12100010002120 is a wasteful number, since it uses less digits than its factorization.

12100010002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693585 (or 1693581 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12100010002120 its reverse (2120001000121), we get a palindrome (14220011002241).

The spelling of 12100010002120 in words is "twelve trillion, one hundred billion, ten million, two thousand, one hundred twenty".