102000002002021 has 8 divisors (see below), whose sum is σ = 104698589952888. Its totient is φ = 99334525560000.

The previous prime is 102000002001979. The next prime is 102000002002081. The reversal of 102000002002021 is 120200200000201.

It can be written as a sum of positive squares in 4 ways, for example, as 19091437890625 + 82908564111396 = 4369375^2 + 9105414^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102000002002021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102000002001989 and 102000002002007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000002002081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8277870970 + ... + 8277883291.

It is an arithmetic number, because the mean of its divisors is an integer number (13087323744111).

Almost surely, 2^{102000002002021} is an apocalyptic number.

It is an amenable number.

102000002002021 is a deficient number, since it is larger than the sum of its proper divisors (2698587950867).

102000002002021 is a wasteful number, since it uses less digits than its factorization.

102000002002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16555754423.

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

Adding to 102000002002021 its reverse (120200200000201), we get a palindrome (222200202002222).

The spelling of 102000002002021 in words is "one hundred two trillion, two million, two thousand, twenty-one".