1010202012101 has 8 divisors (see below), whose sum is σ = 1020761537880. Its totient is φ = 999645447168.

The previous prime is 1010202012037. The next prime is 1010202012143. The reversal of 1010202012101 is 1012102020101.

It can be written as a sum of positive squares in 4 ways, for example, as 216410109601 + 793791902500 = 465199^2 + 890950^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010202012101 - 2⁶ = 1010202012037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010202012161) 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 in 7 ways as a sum of consecutive naturals, for example, 50936 + ... + 1422321.

It is an arithmetic number, because the mean of its divisors is an integer number (127595192235).

Almost surely, 2^{1010202012101} is an apocalyptic number.

It is an amenable number.

1010202012101 is a deficient number, since it is larger than the sum of its proper divisors (10559525779).

1010202012101 is an equidigital number, since it uses as much as digits as its factorization.

1010202012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480423.

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

Adding to 1010202012101 its reverse (1012102020101), we get a palindrome (2022304032202).

The spelling of 1010202012101 in words is "one trillion, ten billion, two hundred two million, twelve thousand, one hundred one".