10002102021 has 10 divisors (see below), whose sum is σ = 14941411782. Its totient is φ = 6668067960.

The previous prime is 10002102017. The next prime is 10002102053. The reversal of 10002102021 is 12020120001.

10002102021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8670216996 + 1331885025 = 93114^2 + 36495^2 .

It is not a de Polignac number, because 10002102021 - 2² = 10002102017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10002101994 and 10002102012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002102221) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 61741290 + ... + 61741451.

Almost surely, 2^10002102021 is an apocalyptic number.

It is an amenable number.

10002102021 is a deficient number, since it is larger than the sum of its proper divisors (4939309761).

10002102021 is an equidigital number, since it uses as much as digits as its factorization.

10002102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123482753 (or 123482744 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002102021 its reverse (12020120001), we get a palindrome (22022222022).

The spelling of 10002102021 in words is "ten billion, two million, one hundred two thousand, twenty-one".