2100000002112 has 280 divisors, whose sum is σ = 6432562273280. Its totient is φ = 676713553920.

The previous prime is 2100000002063. The next prime is 2100000002117. The reversal of 2100000002112 is 2112000000012.

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 = 2100000002094 and 2100000002103.

It is not an unprimeable number, because it can be changed into a prime (2100000002117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 166965168 + ... + 166977744.

Almost surely, 2^{2100000002112} 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 2100000002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216281136640).

2100000002112 is an abundant number, since it is smaller than the sum of its proper divisors (4332562271168).

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

2100000002112 is a wasteful number, since it uses less digits than its factorization.

2100000002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13671 (or 13652 counting only the distinct ones).

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

Adding to 2100000002112 its reverse (2112000000012), we get a palindrome (4212000002124).

It can be divided in two parts, 21000000021 and 12, that multiplied together give a palindrome (252000000252).

The spelling of 2100000002112 in words is "two trillion, one hundred billion, two thousand, one hundred twelve".