10201000020021 has 12 divisors (see below), whose sum is σ = 14778501187372. Its totient is φ = 6780486658176.

The previous prime is 10201000020007. The next prime is 10201000020037. The reversal of 10201000020021 is 12002000010201.

10201000020021 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 2 ways, for example, as 823349352996 + 9377650667025 = 907386^2 + 3062295^2 .

It is not a de Polignac number, because 10201000020021 - 2⁵ = 10201000019989 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201000019985 and 10201000020012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201000020041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1681665286 + ... + 1681671351.

Almost surely, 2^{10201000020021} is an apocalyptic number.

It is an amenable number.

10201000020021 is a deficient number, since it is larger than the sum of its proper divisors (4577501167351).

10201000020021 is a wasteful number, since it uses less digits than its factorization.

10201000020021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363336980 (or 3363336977 counting only the distinct ones).

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

Adding to 10201000020021 its reverse (12002000010201), we get a palindrome (22203000030222).

The spelling of 10201000020021 in words is "ten trillion, two hundred one billion, twenty thousand, twenty-one".