1010002100201 has 8 divisors (see below), whose sum is σ = 1018302864384. Its totient is φ = 1001732719680.

The previous prime is 1010002100143. The next prime is 1010002100207. The reversal of 1010002100201 is 1020012000101.

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

It is a cyclic number.

It is not a de Polignac number, because 1010002100201 - 2¹⁸ = 1010001838057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010002100207) 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, 7781285 + ... + 7910018.

It is an arithmetic number, because the mean of its divisors is an integer number (127287858048).

Almost surely, 2^{1010002100201} is an apocalyptic number.

It is an amenable number.

1010002100201 is a deficient number, since it is larger than the sum of its proper divisors (8300764183).

1010002100201 is a wasteful number, since it uses less digits than its factorization.

1010002100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15691831.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010002100201 its reverse (1020012000101), we get a palindrome (2030014100302).

The spelling of 1010002100201 in words is "one trillion, ten billion, two million, one hundred thousand, two hundred one".