111101020201001 has 2 divisors, whose sum is σ = 111101020201002. Its totient is φ = 111101020201000.

The previous prime is 111101020200953. The next prime is 111101020201057. The reversal of 111101020201001 is 100102020101111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107514916723600 + 3586103477401 = 10368940^2 + 1893701^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101020201001 - 2¹⁰ = 111101020199977 is a prime.

It is not a weakly prime, because it can be changed into another prime (111101020201901) 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 as a sum of consecutive naturals, namely, 55550510100500 + 55550510100501.

It is an arithmetic number, because the mean of its divisors is an integer number (55550510100501).

Almost surely, 2^{111101020201001} is an apocalyptic number.

It is an amenable number.

111101020201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101020201001 is an equidigital number, since it uses as much as digits as its factorization.

111101020201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111101020201001 its reverse (100102020101111), we get a palindrome (211203040302112).

The spelling of 111101020201001 in words is "one hundred eleven trillion, one hundred one billion, twenty million, two hundred one thousand, one".