1020201111001 has 2 divisors, whose sum is σ = 1020201111002. Its totient is φ = 1020201111000.

The previous prime is 1020201110987. The next prime is 1020201111067. The reversal of 1020201111001 is 1001111020201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 956384246601 + 63816864400 = 977949^2 + 252620^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020201111001 - 2²⁷ = 1020066893273 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020201111101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510100555500 + 510100555501.

It is an arithmetic number, because the mean of its divisors is an integer number (510100555501).

Almost surely, 2^{1020201111001} is an apocalyptic number.

It is an amenable number.

1020201111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020201111001 is an equidigital number, since it uses as much as digits as its factorization.

1020201111001 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 1020201111001 its reverse (1001111020201), we get a palindrome (2021312131202).

The spelling of 1020201111001 in words is "one trillion, twenty billion, two hundred one million, one hundred eleven thousand, one".