20100011009201 has 2 divisors, whose sum is σ = 20100011009202. Its totient is φ = 20100011009200.

The previous prime is 20100011009081. The next prime is 20100011009249. The reversal of 20100011009201 is 10290011000102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14153245926400 + 5946765082801 = 3762080^2 + 2438599^2 .

It is a cyclic number.

It is not a de Polignac number, because 20100011009201 - 2³⁴ = 20082831140017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20100011009201.

It is not a weakly prime, because it can be changed into another prime (20100011059201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050005504600 + 10050005504601.

It is an arithmetic number, because the mean of its divisors is an integer number (10050005504601).

Almost surely, 2^{20100011009201} is an apocalyptic number.

It is an amenable number.

20100011009201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100011009201 is an equidigital number, since it uses as much as digits as its factorization.

20100011009201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 20100011009201 its reverse (10290011000102), we get a palindrome (30390022009303).

The spelling of 20100011009201 in words is "twenty trillion, one hundred billion, eleven million, nine thousand, two hundred one".