2000100002112 has 112 divisors (see below), whose sum is σ = 5882680843200. Its totient is φ = 666387371520.

The previous prime is 2000100002077. The next prime is 2000100002113. The reversal of 2000100002112 is 2112000010002.

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 = 2000100002094 and 2000100002103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000100002113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3429339 + ... + 3969957.

It is an arithmetic number, because the mean of its divisors is an integer number (52523936100).

Almost surely, 2^{2000100002112} 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 2000100002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941340421600).

2000100002112 is an abundant number, since it is smaller than the sum of its proper divisors (3882580841088).

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

2000100002112 is a wasteful number, since it uses less digits than its factorization.

2000100002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542781 (or 542765 counting only the distinct ones).

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

Adding to 2000100002112 its reverse (2112000010002), we get a palindrome (4112100012114).

The spelling of 2000100002112 in words is "two trillion, one hundred million, two thousand, one hundred twelve".