100012000000200 has 48 divisors (see below), whose sum is σ = 310037200002480. Its totient is φ = 26669866666560.

The previous prime is 100012000000153. The next prime is 100012000000201. The reversal of 100012000000200 is 2000000210001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (100012000000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83343332734 + ... + 83343333933.

It is an arithmetic number, because the mean of its divisors is an integer number (6459108333385).

Almost surely, 2^{100012000000200} is an apocalyptic number.

100012000000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012000000200 is an abundant number, since it is smaller than the sum of its proper divisors (210025200002280).

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

100012000000200 is a wasteful number, since it uses less digits than its factorization.

100012000000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166686666686 (or 166686666677 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 100012000000200 its reverse (2000000210001), we get a palindrome (102012000210201).

The spelling of 100012000000200 in words is "one hundred trillion, twelve billion, two hundred", and thus it is an aban number.