10100211200201 has 8 divisors (see below), whose sum is σ = 10251226152360. Its totient is φ = 9949538299392.

The previous prime is 10100211200179. The next prime is 10100211200231. The reversal of 10100211200201 is 10200211200101.

It can be written as a sum of positive squares in 4 ways, for example, as 1815594553600 + 8284616646601 = 1347440^2 + 2878301^2 .

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 10100211200201 - 2⁶ = 10100211200137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100211200231) 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, 85453340 + ... + 85571453.

It is an arithmetic number, because the mean of its divisors is an integer number (1281403269045).

Almost surely, 2^{10100211200201} is an apocalyptic number.

It is an amenable number.

10100211200201 is a deficient number, since it is larger than the sum of its proper divisors (151014952159).

10100211200201 is an equidigital number, since it uses as much as digits as its factorization.

10100211200201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171025675.

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

Adding to 10100211200201 its reverse (10200211200101), we get a palindrome (20300422400302).

The spelling of 10100211200201 in words is "ten trillion, one hundred billion, two hundred eleven million, two hundred thousand, two hundred one".