200120001211001 has 8 divisors (see below), whose sum is σ = 200230841643144. Its totient is φ = 200009173795200.

The previous prime is 200120001210959. The next prime is 200120001211037. The reversal of 200120001211001 is 100112100021002.

It can be written as a sum of positive squares in 4 ways, for example, as 35335950804025 + 164784050406976 = 5944405^2 + 12836824^2 .

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 200120001211001 - 2³⁰ = 200118927469177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200120001211901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27584351 + ... + 34075451.

It is an arithmetic number, because the mean of its divisors is an integer number (25028855205393).

Almost surely, 2^{200120001211001} is an apocalyptic number.

It is an amenable number.

200120001211001 is a deficient number, since it is larger than the sum of its proper divisors (110840432143).

200120001211001 is a wasteful number, since it uses less digits than its factorization.

200120001211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6508171.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200120001211001 its reverse (100112100021002), we get a palindrome (300232101232003).

The spelling of 200120001211001 in words is "two hundred trillion, one hundred twenty billion, one million, two hundred eleven thousand, one".