10100221110211 has 8 divisors (see below), whose sum is σ = 10448587987200. Its totient is φ = 9751859792640.

The previous prime is 10100221110209. The next prime is 10100221110223. The reversal of 10100221110211 is 11201112200101.

It is a happy number.

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 10100221110211 - 2¹ = 10100221110209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100221110191 and 10100221110200.

It is not an unprimeable number, because it can be changed into a prime (10100221110011) 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 7 ways as a sum of consecutive naturals, for example, 2489971 + ... + 5138131.

It is an arithmetic number, because the mean of its divisors is an integer number (1306073498400).

Almost surely, 2^{10100221110211} is an apocalyptic number.

10100221110211 is a deficient number, since it is larger than the sum of its proper divisors (348366876989).

10100221110211 is a wasteful number, since it uses less digits than its factorization.

10100221110211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779709.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10100221110211 its reverse (11201112200101), we get a palindrome (21301333310312).

The spelling of 10100221110211 in words is "ten trillion, one hundred billion, two hundred twenty-one million, one hundred ten thousand, two hundred eleven".