200101120001 has 2 divisors, whose sum is σ = 200101120002. Its totient is φ = 200101120000.

The previous prime is 200101119997. The next prime is 200101120003. The reversal of 200101120001 is 100021101002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184748670976 + 15352449025 = 429824^2 + 123905^2 .

It is a cyclic number.

It is not a de Polignac number, because 200101120001 - 2² = 200101119997 is a prime.

Together with 200101120003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (200101120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100050560000 + 100050560001.

It is an arithmetic number, because the mean of its divisors is an integer number (100050560001).

Almost surely, 2^200101120001 is an apocalyptic number.

It is an amenable number.

200101120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

200101120001 is an equidigital number, since it uses as much as digits as its factorization.

200101120001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 200101120001 its reverse (100021101002), we get a palindrome (300122221003).

The spelling of 200101120001 in words is "two hundred billion, one hundred one million, one hundred twenty thousand, one".