10002100020021 has 24 divisors (see below), whose sum is σ = 14453272579200. Its totient is φ = 6665392643616.

The previous prime is 10002100019969. The next prime is 10002100020037. The reversal of 10002100020021 is 12002000120001.

10002100020021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002100020021 - 2⁶ = 10002100019957 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 = 10002100019985 and 10002100020012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002100020061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501373555 + ... + 501393503.

It is an arithmetic number, because the mean of its divisors is an integer number (602219690800).

Almost surely, 2^{10002100020021} is an apocalyptic number.

It is an amenable number.

10002100020021 is a deficient number, since it is larger than the sum of its proper divisors (4451172559179).

10002100020021 is a wasteful number, since it uses less digits than its factorization.

10002100020021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39505 (or 39502 counting only the distinct ones).

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

Adding to 10002100020021 its reverse (12002000120001), we get a palindrome (22004100140022).

The spelling of 10002100020021 in words is "ten trillion, two billion, one hundred million, twenty thousand, twenty-one".