2100120000012 has 144 divisors (see below), whose sum is σ = 5508432663552. Its totient is φ = 673933518720.

The previous prime is 2100119999951. The next prime is 2100120000029. The reversal of 2100120000012 is 2100000210012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100119999949 and 2100120000003.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 422301958 + ... + 422306930.

It is an arithmetic number, because the mean of its divisors is an integer number (38253004608).

Almost surely, 2^{2100120000012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100120000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754216331776).

2100120000012 is an abundant number, since it is smaller than the sum of its proper divisors (3408312663540).

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

2100120000012 is a wasteful number, since it uses less digits than its factorization.

2100120000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6908 (or 6903 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2100120000012 its reverse (2100000210012), we get a palindrome (4200120210024).

The spelling of 2100120000012 in words is "two trillion, one hundred billion, one hundred twenty million, twelve", and thus it is an aban number.