100012200011205 has 8 divisors (see below), whose sum is σ = 160019520017952. Its totient is φ = 53339840005968.

The previous prime is 100012200011179. The next prime is 100012200011231. The reversal of 100012200011205 is 502110002210001.

It is an interprime number because it is at equal distance from previous prime (100012200011179) and next prime (100012200011231).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100012200011205 - 2⁵ = 100012200011173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 6667480000747 = 100012200011205 / (1 + 0 + 0 + 0 + 1 + 2 + 2 + 0 + 0 + 0 + 1 + 1 + 2 + 0 + 5).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3333740000359 + ... + 3333740000388.

It is an arithmetic number, because the mean of its divisors is an integer number (20002440002244).

Almost surely, 2^{100012200011205} is an apocalyptic number.

100012200011205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100012200011205 is a deficient number, since it is larger than the sum of its proper divisors (60007320006747).

100012200011205 is an equidigital number, since it uses as much as digits as its factorization.

100012200011205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6667480000755.

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 100012200011205 its reverse (502110002210001), we get a palindrome (602122202221206).

The spelling of 100012200011205 in words is "one hundred trillion, twelve billion, two hundred million, eleven thousand, two hundred five".