100101221210211 has 64 divisors (see below), whose sum is σ = 144579388047360. Its totient is φ = 61239876647040.

The previous prime is 100101221210191. The next prime is 100101221210239. The reversal of 100101221210211 is 112012122101001.

It is a happy number.

It is not a de Polignac number, because 100101221210211 - 2⁶ = 100101221210147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101221210281) 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 63 ways as a sum of consecutive naturals, for example, 16116760896 + ... + 16116767106.

It is an arithmetic number, because the mean of its divisors is an integer number (2259052938240).

Almost surely, 2^{100101221210211} is an apocalyptic number.

100101221210211 is a deficient number, since it is larger than the sum of its proper divisors (44478166837149).

100101221210211 is a wasteful number, since it uses less digits than its factorization.

100101221210211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9096.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100101221210211 its reverse (112012122101001), we get a palindrome (212113343311212).

The spelling of 100101221210211 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred ten thousand, two hundred eleven".