101200100221 has 8 divisors (see below), whose sum is σ = 110406386304. Its totient is φ = 91994860320.

The previous prime is 101200100201. The next prime is 101200100227. The reversal of 101200100221 is 122001002101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101200100221 - 2¹⁷ = 101199969149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101200100198 and 101200100207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200100227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51976 + ... + 452881.

It is an arithmetic number, because the mean of its divisors is an integer number (13800798288).

Almost surely, 2^101200100221 is an apocalyptic number.

101200100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101200100221 is a deficient number, since it is larger than the sum of its proper divisors (9206286083).

101200100221 is a wasteful number, since it uses less digits than its factorization.

101200100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523091.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101200100221 its reverse (122001002101), we get a palindrome (223201102322).

The spelling of 101200100221 in words is "one hundred one billion, two hundred million, one hundred thousand, two hundred twenty-one".