1001012040200 has 48 divisors (see below), whose sum is σ = 2330917390980. Its totient is φ = 399791586560.

The previous prime is 1001012040139. The next prime is 1001012040229. The reversal of 1001012040200 is 20402101001.

It can be written as a sum of positive squares in 6 ways, for example, as 14776347364 + 986235692836 = 121558^2 + 993094^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3701759 + ... + 3962958.

Almost surely, 2^{1001012040200} is an apocalyptic number.

1001012040200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001012040200 is an abundant number, since it is smaller than the sum of its proper divisors (1329905350780).

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

1001012040200 is a wasteful number, since it uses less digits than its factorization.

1001012040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7665386 (or 7665377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1001012040200 its reverse (20402101001), we get a palindrome (1021414141201).

The spelling of 1001012040200 in words is "one trillion, one billion, twelve million, forty thousand, two hundred".