211220100221101 has 8 divisors (see below), whose sum is σ = 213314354695800. Its totient is φ = 209125903910400.

The previous prime is 211220100220993. The next prime is 211220100221203. The reversal of 211220100221101 is 101122001022112.

It can be written as a sum of positive squares in 4 ways, for example, as 165699454104900 + 45520646116201 = 12872430^2 + 6746899^2 .

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 211220100221101 - 2⁷ = 211220100220973 is a prime.

It is a super-2 number, since 2×211220100221101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220100221701) 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 7 ways as a sum of consecutive naturals, for example, 7223916 + ... + 21785893.

It is an arithmetic number, because the mean of its divisors is an integer number (26664294336975).

Almost surely, 2^{211220100221101} is an apocalyptic number.

It is an amenable number.

211220100221101 is a deficient number, since it is larger than the sum of its proper divisors (2094254474699).

211220100221101 is a wasteful number, since it uses less digits than its factorization.

211220100221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29081999.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211220100221101 its reverse (101122001022112), we get a palindrome (312342101243213).

The spelling of 211220100221101 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred million, two hundred twenty-one thousand, one hundred one".