10111202020001 has 2 divisors, whose sum is σ = 10111202020002. Its totient is φ = 10111202020000.

The previous prime is 10111202019983. The next prime is 10111202020019. The reversal of 10111202020001 is 10002020211101.

It is a balanced prime because it is at equal distance from previous prime (10111202019983) and next prime (10111202020019).

It can be written as a sum of positive squares in only one way, i.e., 10110714670225 + 487349776 = 3179735^2 + 22076^2 .

It is an emirp because it is prime and its reverse (10002020211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10111202020001 - 2¹⁰ = 10111202018977 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111202028001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055601010000 + 5055601010001.

It is an arithmetic number, because the mean of its divisors is an integer number (5055601010001).

Almost surely, 2^{10111202020001} is an apocalyptic number.

It is an amenable number.

10111202020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111202020001 is an equidigital number, since it uses as much as digits as its factorization.

10111202020001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10111202020001 its reverse (10002020211101), we get a palindrome (20113222231102).

The spelling of 10111202020001 in words is "ten trillion, one hundred eleven billion, two hundred two million, twenty thousand, one".