10012002102020 has 48 divisors (see below), whose sum is σ = 21682564974000. Its totient is φ = 3880900423680.

The previous prime is 10012002101987. The next prime is 10012002102029. The reversal of 10012002102020 is 2020120021001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 965333760196 + 9046668341824 = 982514^2 + 3007768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10012002101992 and 10012002102010.

It is not an unprimeable number, because it can be changed into a prime (10012002102029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40850165 + ... + 41094524.

It is an arithmetic number, because the mean of its divisors is an integer number (451720103625).

Almost surely, 2^{10012002102020} is an apocalyptic number.

10012002102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012002102020 is an abundant number, since it is smaller than the sum of its proper divisors (11670562871980).

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

10012002102020 is a wasteful number, since it uses less digits than its factorization.

10012002102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81944888 (or 81944886 counting only the distinct ones).

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

Adding to 10012002102020 its reverse (2020120021001), we get a palindrome (12032122123021).

The spelling of 10012002102020 in words is "ten trillion, twelve billion, two million, one hundred two thousand, twenty".