101201110221 has 16 divisors (see below), whose sum is σ = 135319592960. Its totient is φ = 67275094320.

The previous prime is 101201110193. The next prime is 101201110261. The reversal of 101201110221 is 122011102101.

It is not a de Polignac number, because 101201110221 - 2¹⁴ = 101201093837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101201110197 and 101201110206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201110261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10003956 + ... + 10014066.

It is an arithmetic number, because the mean of its divisors is an integer number (8457474560).

Almost surely, 2^101201110221 is an apocalyptic number.

It is an amenable number.

101201110221 is a deficient number, since it is larger than the sum of its proper divisors (34118482739).

101201110221 is a wasteful number, since it uses less digits than its factorization.

101201110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19296.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101201110221 its reverse (122011102101), we get a palindrome (223212212322).

The spelling of 101201110221 in words is "one hundred one billion, two hundred one million, one hundred ten thousand, two hundred twenty-one".