10122101000201 has 8 divisors (see below), whose sum is σ = 10186695215424. Its totient is φ = 10057508332560.

The previous prime is 10122101000171. The next prime is 10122101000237. The reversal of 10122101000201 is 10200010122101.

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 10122101000201 - 2¹⁰ = 10122100999177 is a prime.

It is a super-3 number, since 3×10122101000201³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122101000101) 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 in 7 ways as a sum of consecutive naturals, for example, 14576156 + ... + 15254786.

It is an arithmetic number, because the mean of its divisors is an integer number (1273336901928).

Almost surely, 2^{10122101000201} is an apocalyptic number.

It is an amenable number.

10122101000201 is a deficient number, since it is larger than the sum of its proper divisors (64594215223).

10122101000201 is an equidigital number, since it uses as much as digits as its factorization.

10122101000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773791.

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

Adding to 10122101000201 its reverse (10200010122101), we get a palindrome (20322111122302).

The spelling of 10122101000201 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, two hundred one", and thus it is an aban number.