200101202112001 has 8 divisors (see below), whose sum is σ = 200471671016424. Its totient is φ = 199730773426560.

The previous prime is 200101202111981. The next prime is 200101202112121. The reversal of 200101202112001 is 100211202101002.

It can be written as a sum of positive squares in 4 ways, for example, as 34797493123600 + 165303708988401 = 5898940^2 + 12857049^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 200101202112001 - 2⁴⁷ = 59363713756673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200101202812001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85810 + ... + 20005243.

It is an arithmetic number, because the mean of its divisors is an integer number (25058958877053).

Almost surely, 2^{200101202112001} is an apocalyptic number.

It is an amenable number.

200101202112001 is a deficient number, since it is larger than the sum of its proper divisors (370468904423).

200101202112001 is a wasteful number, since it uses less digits than its factorization.

200101202112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20109491.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 200101202112001 its reverse (100211202101002), we get a palindrome (300312404213003).

The spelling of 200101202112001 in words is "two hundred trillion, one hundred one billion, two hundred two million, one hundred twelve thousand, one".