100200200012002 has 8 divisors (see below), whose sum is σ = 150300403670700. Its totient is φ = 50100065455104.

The previous prime is 100200200011979. The next prime is 100200200012023. The reversal of 100200200012002 is 200210002002001.

It can be written as a sum of positive squares in 2 ways, for example, as 61725707878041 + 38474492133961 = 7856571^2 + 6202781^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 100200200012002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13483927 + ... + 19550362.

Almost surely, 2^{100200200012002} is an apocalyptic number.

100200200012002 is a deficient number, since it is larger than the sum of its proper divisors (50100203658698).

100200200012002 is a wasteful number, since it uses less digits than its factorization.

100200200012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34550900.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100200200012002 its reverse (200210002002001), we get a palindrome (300410202014003).

The spelling of 100200200012002 in words is "one hundred trillion, two hundred billion, two hundred million, twelve thousand, two".