1020212121101 has 6 divisors (see below), whose sum is σ = 1030838210730. Its totient is φ = 1009694461056.

The previous prime is 1020212121079. The next prime is 1020212121151. The reversal of 1020212121101 is 1011212120201.

It can be written as a sum of positive squares in 3 ways, for example, as 125057713225 + 895154407876 = 353635^2 + 946126^2 .

It is not a de Polignac number, because 1020212121101 - 2³⁴ = 1003032251917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020212121151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54205286 + ... + 54224103.

It is an arithmetic number, because the mean of its divisors is an integer number (171806368455).

Almost surely, 2^{1020212121101} is an apocalyptic number.

It is an amenable number.

1020212121101 is a deficient number, since it is larger than the sum of its proper divisors (10626089629).

1020212121101 is an frugal number, since it uses more digits than its factorization.

1020212121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108429583 (or 108429486 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1020212121101 its reverse (1011212120201), we get a palindrome (2031424241302).

The spelling of 1020212121101 in words is "one trillion, twenty billion, two hundred twelve million, one hundred twenty-one thousand, one hundred one".