1020020122105 has 16 divisors (see below), whose sum is σ = 1240858022544. Its totient is φ = 804794711040.

The previous prime is 1020020122073. The next prime is 1020020122123. The reversal of 1020020122105 is 5012210200201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17544591936 + 1002475530169 = 132456^2 + 1001237^2 .

It is not a de Polignac number, because 1020020122105 - 2⁵ = 1020020122073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7922707 + ... + 8050423.

It is an arithmetic number, because the mean of its divisors is an integer number (77553626409).

Almost surely, 2^{1020020122105} is an apocalyptic number.

It is an amenable number.

1020020122105 is a deficient number, since it is larger than the sum of its proper divisors (220837900439).

1020020122105 is a wasteful number, since it uses less digits than its factorization.

1020020122105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149676.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 1020020122105 its reverse (5012210200201), we get a palindrome (6032230322306).

The spelling of 1020020122105 in words is "one trillion, twenty billion, twenty million, one hundred twenty-two thousand, one hundred five".