10200000010201 has 8 divisors (see below), whose sum is σ = 10379958453864. Its totient is φ = 10021128929280.

The previous prime is 10200000010171. The next prime is 10200000010223. The reversal of 10200000010201 is 10201000000201.

It can be written as a sum of positive squares in 4 ways, for example, as 1937939625801 + 8262060384400 = 1392099^2 + 2874380^2 .

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 10200000010201 - 2⁷ = 10200000010073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200000010271) 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, 271821760 + ... + 271859281.

It is an arithmetic number, because the mean of its divisors is an integer number (1297494806733).

Almost surely, 2^{10200000010201} is an apocalyptic number.

It is an amenable number.

10200000010201 is a deficient number, since it is larger than the sum of its proper divisors (179958443663).

10200000010201 is an equidigital number, since it uses as much as digits as its factorization.

10200000010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543681371.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10200000010201 its reverse (10201000000201), we get a palindrome (20401000010402).

It can be divided in two parts, 102000000 and 10201, that added together give a palindrome (102010201).

The spelling of 10200000010201 in words is "ten trillion, two hundred billion, ten thousand, two hundred one".