1000200002112 has 42 divisors (see below), whose sum is σ = 2866892716038. Its totient is φ = 333400000512.

The previous prime is 1000200002071. The next prime is 1000200002129. The reversal of 1000200002112 is 2112000020001.

It can be written as a sum of positive squares in only one way, i.e., 740246861376 + 259953140736 = 860376^2 + 509856^2 .

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 = 1000200002094 and 1000200002103.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 868228593 + ... + 868229744.

Almost surely, 2^{1000200002112} is an apocalyptic number.

1000200002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000200002112 is an abundant number, since it is smaller than the sum of its proper divisors (1866692713926).

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

1000200002112 is a wasteful number, since it uses less digits than its factorization.

1000200002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736458355 (or 1736458342 counting only the distinct ones).

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

Adding to 1000200002112 its reverse (2112000020001), we get a palindrome (3112200022113).

The spelling of 1000200002112 in words is "one trillion, two hundred million, two thousand, one hundred twelve".