10000122120101 has 8 divisors (see below), whose sum is σ = 10602278362584. Its totient is φ = 9399511851520.

The previous prime is 10000122120013. The next prime is 10000122120113. The reversal of 10000122120101 is 10102122100001.

It can be written as a sum of positive squares in 4 ways, for example, as 2815583320900 + 7184538799201 = 1677970^2 + 2680399^2 .

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 10000122120101 - 2¹⁰ = 10000122119077 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000122180101) 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, 386480150 + ... + 386506023.

It is an arithmetic number, because the mean of its divisors is an integer number (1325284795323).

Almost surely, 2^{10000122120101} is an apocalyptic number.

It is an amenable number.

10000122120101 is a deficient number, since it is larger than the sum of its proper divisors (602156242483).

10000122120101 is an equidigital number, since it uses as much as digits as its factorization.

10000122120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772986951.

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

Adding to 10000122120101 its reverse (10102122100001), we get a palindrome (20102244220102).

The spelling of 10000122120101 in words is "ten trillion, one hundred twenty-two million, one hundred twenty thousand, one hundred one".