10112201010001 has 2 divisors, whose sum is σ = 10112201010002. Its totient is φ = 10112201010000.

The previous prime is 10112201009957. The next prime is 10112201010083. The reversal of 10112201010001 is 10001010221101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5722333779600 + 4389867230401 = 2392140^2 + 2095201^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112201010001 - 2¹³ = 10112201001809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10112201010001.

It is not a weakly prime, because it can be changed into another prime (10112201013001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056100505000 + 5056100505001.

It is an arithmetic number, because the mean of its divisors is an integer number (5056100505001).

Almost surely, 2^{10112201010001} is an apocalyptic number.

It is an amenable number.

10112201010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112201010001 is an equidigital number, since it uses as much as digits as its factorization.

10112201010001 is an evil number, because the sum of its binary digits is even.

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

Adding to 10112201010001 its reverse (10001010221101), we get a palindrome (20113211231102).

The spelling of 10112201010001 in words is "ten trillion, one hundred twelve billion, two hundred one million, ten thousand, one".