10112002002020 has 12 divisors (see below), whose sum is σ = 21235204204284. Its totient is φ = 4044800800800.

The previous prime is 10112002002001. The next prime is 10112002002071. The reversal of 10112002002020 is 2020020021101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6309470801956 + 3802531200064 = 2511866^2 + 1950008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10112002001992 and 10112002002010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252800050031 + ... + 252800050070.

It is an arithmetic number, because the mean of its divisors is an integer number (1769600350357).

Almost surely, 2^{10112002002020} is an apocalyptic number.

10112002002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112002002020 is an abundant number, since it is smaller than the sum of its proper divisors (11123202202264).

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

10112002002020 is a wasteful number, since it uses less digits than its factorization.

10112002002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505600100110 (or 505600100108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10112002002020 its reverse (2020020021101), we get a palindrome (12132022023121).

The spelling of 10112002002020 in words is "ten trillion, one hundred twelve billion, two million, two thousand, twenty".