10001120100201 has 20 divisors (see below), whose sum is σ = 14978350916100. Its totient is φ = 6650273498976.

The previous prime is 10001120100163. The next prime is 10001120100247. The reversal of 10001120100201 is 10200102110001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4556602544400 + 5444517555801 = 2134620^2 + 2333349^2 .

It is not a de Polignac number, because 10001120100201 - 2³⁴ = 9983940231017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10001120108201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 158671086 + ... + 158734103.

It is an arithmetic number, because the mean of its divisors is an integer number (748917545805).

Almost surely, 2^{10001120100201} is an apocalyptic number.

It is an amenable number.

10001120100201 is a deficient number, since it is larger than the sum of its proper divisors (4977230815899).

10001120100201 is an equidigital number, since it uses as much as digits as its factorization.

10001120100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317405590 (or 317405581 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001120100201 its reverse (10200102110001), we get a palindrome (20201222210202).

The spelling of 10001120100201 in words is "ten trillion, one billion, one hundred twenty million, one hundred thousand, two hundred one".