1002112122020 has 24 divisors (see below), whose sum is σ = 2104461752568. Its totient is φ = 400839840000.

The previous prime is 1002112122019. The next prime is 1002112122031. The reversal of 1002112122020 is 202212112001.

It can be written as a sum of positive squares in 4 ways, for example, as 23310571684 + 978801550336 = 152678^2 + 989344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1002112121986 and 1002112122004.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1618070 + ... + 2149970.

It is an arithmetic number, because the mean of its divisors is an integer number (87685906357).

Almost surely, 2^{1002112122020} is an apocalyptic number.

1002112122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002112122020 is an abundant number, since it is smaller than the sum of its proper divisors (1102349630548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002112122020 is a wasteful number, since it uses less digits than its factorization.

1002112122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626111 (or 626109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002112122020 its reverse (202212112001), we get a palindrome (1204324234021).

The spelling of 1002112122020 in words is "one trillion, two billion, one hundred twelve million, one hundred twenty-two thousand, twenty".