10000212002020 has 48 divisors (see below), whose sum is σ = 21240851568048. Its totient is φ = 3954414425600.

The previous prime is 10000212002003. The next prime is 10000212002083. The reversal of 10000212002020 is 2020021200001.

It can be written as a sum of positive squares in 8 ways, for example, as 962769139264 + 9037442862756 = 981208^2 + 3006234^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10000212001988 and 10000212002006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2471599 + ... + 5109718.

It is an arithmetic number, because the mean of its divisors is an integer number (442517741001).

Almost surely, 2^{10000212002020} is an apocalyptic number.

10000212002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000212002020 is an abundant number, since it is smaller than the sum of its proper divisors (11240639566028).

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

10000212002020 is a wasteful number, since it uses less digits than its factorization.

10000212002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7582080 (or 7582078 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10000212002020 its reverse (2020021200001), we get a palindrome (12020233202021).

The spelling of 10000212002020 in words is "ten trillion, two hundred twelve million, two thousand, twenty".