10000201121101 has 8 divisors (see below), whose sum is σ = 10063478263608. Its totient is φ = 9937104000000.

The previous prime is 10000201121087. The next prime is 10000201121159. The reversal of 10000201121101 is 10112110200001.

It can be written as a sum of positive squares in 4 ways, for example, as 932574558601 + 9067626562500 = 965699^2 + 3011250^2 .

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 10000201121101 - 2¹⁵ = 10000201088333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000201121161) 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, 44893900 + ... + 45116101.

It is an arithmetic number, because the mean of its divisors is an integer number (1257934782951).

Almost surely, 2^{10000201121101} is an apocalyptic number.

It is an amenable number.

10000201121101 is a deficient number, since it is larger than the sum of its proper divisors (63277142507).

10000201121101 is an equidigital number, since it uses as much as digits as its factorization.

10000201121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90010703.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10000201121101 its reverse (10112110200001), we get a palindrome (20112311321102).

The spelling of 10000201121101 in words is "ten trillion, two hundred one million, one hundred twenty-one thousand, one hundred one".