110012020101001 has 2 divisors, whose sum is σ = 110012020101002. Its totient is φ = 110012020101000.

The previous prime is 110012020100981. The next prime is 110012020101007. The reversal of 110012020101001 is 100101020210011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56894510694025 + 53117509406976 = 7542845^2 + 7288176^2 .

It is a cyclic number.

It is not a de Polignac number, because 110012020101001 - 2¹⁹ = 110012019576713 is a prime.

It is not a weakly prime, because it can be changed into another prime (110012020101007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55006010050500 + 55006010050501.

It is an arithmetic number, because the mean of its divisors is an integer number (55006010050501).

Almost surely, 2^{110012020101001} is an apocalyptic number.

It is an amenable number.

110012020101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110012020101001 is an equidigital number, since it uses as much as digits as its factorization.

110012020101001 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 110012020101001 its reverse (100101020210011), we get a palindrome (210113040311012).

The spelling of 110012020101001 in words is "one hundred ten trillion, twelve billion, twenty million, one hundred one thousand, one".