1012001000200 has 96 divisors (see below), whose sum is σ = 2525436475560. Its totient is φ = 375769497600.

The previous prime is 1012001000161. The next prime is 1012001000209. The reversal of 1012001000200 is 20001002101.

It can be written as a sum of positive squares in 12 ways, for example, as 111715040644 + 900285959556 = 334238^2 + 948834^2 .

It is not an unprimeable number, because it can be changed into a prime (1012001000209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1790481 + ... + 2286880.

Almost surely, 2^{1012001000200} is an apocalyptic number.

1012001000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012001000200 is an abundant number, since it is smaller than the sum of its proper divisors (1513435475360).

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

1012001000200 is a wasteful number, since it uses less digits than its factorization.

1012001000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077467 (or 4077458 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1012001000200 its reverse (20001002101), we get a palindrome (1032002002301).

The spelling of 1012001000200 in words is "one trillion, twelve billion, one million, two hundred", and thus it is an aban number.