10100210021201 has 4 divisors (see below), whose sum is σ = 10134681728052. Its totient is φ = 10065738314352.

The previous prime is 10100210021183. The next prime is 10100210021219. The reversal of 10100210021201 is 10212001200101.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (10100210021183) and next prime (10100210021219).

It can be written as a sum of positive squares in 2 ways, for example, as 5728598115601 + 4371611905600 = 2393449^2 + 2090840^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100210021201 - 2³⁴ = 10083030152017 is a prime.

It is a super-3 number, since 3×10100210021201³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100210021281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17235852986 + ... + 17235853571.

It is an arithmetic number, because the mean of its divisors is an integer number (2533670432013).

Almost surely, 2^{10100210021201} is an apocalyptic number.

It is an amenable number.

10100210021201 is a deficient number, since it is larger than the sum of its proper divisors (34471706851).

10100210021201 is an equidigital number, since it uses as much as digits as its factorization.

10100210021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34471706850.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100210021201 its reverse (10212001200101), we get a palindrome (20312211221302).

The spelling of 10100210021201 in words is "ten trillion, one hundred billion, two hundred ten million, twenty-one thousand, two hundred one".