10200010020021 has 96 divisors (see below), whose sum is σ = 16662429388800. Its totient is φ = 5978582507520.

The previous prime is 10200010019993. The next prime is 10200010020047. The reversal of 10200010020021 is 12002001000201.

It is not a de Polignac number, because 10200010020021 - 2¹⁹ = 10200009495733 is a prime.

It is a super-3 number, since 3×10200010020021³ (a number of 40 digits) contains 333 as substring.

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 = 10200010019985 and 10200010020012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200010022021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1036686820 + ... + 1036696658.

It is an arithmetic number, because the mean of its divisors is an integer number (173566972800).

Almost surely, 2^{10200010020021} is an apocalyptic number.

It is an amenable number.

10200010020021 is a deficient number, since it is larger than the sum of its proper divisors (6462419368779).

10200010020021 is a wasteful number, since it uses less digits than its factorization.

10200010020021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17459 (or 17456 counting only the distinct ones).

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

Adding to 10200010020021 its reverse (12002001000201), we get a palindrome (22202011020222).

The spelling of 10200010020021 in words is "ten trillion, two hundred billion, ten million, twenty thousand, twenty-one".