1020110012101 has 2 divisors, whose sum is σ = 1020110012102. Its totient is φ = 1020110012100.

The previous prime is 1020110012087. The next prime is 1020110012177. The reversal of 1020110012101 is 1012100110201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1019344659876 + 765352225 = 1009626^2 + 27665^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020110012101 - 2⁵ = 1020110012069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020110012401) 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, 510055006050 + 510055006051.

It is an arithmetic number, because the mean of its divisors is an integer number (510055006051).

Almost surely, 2^{1020110012101} is an apocalyptic number.

It is an amenable number.

1020110012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020110012101 is an equidigital number, since it uses as much as digits as its factorization.

1020110012101 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 10.

Adding to 1020110012101 its reverse (1012100110201), we get a palindrome (2032210122302).

The spelling of 1020110012101 in words is "one trillion, twenty billion, one hundred ten million, twelve thousand, one hundred one".