2101220100221 has 8 divisors (see below), whose sum is σ = 2341011176064. Its totient is φ = 1869557535520.

The previous prime is 2101220100209. The next prime is 2101220100251. The reversal of 2101220100221 is 1220010221012.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101220100221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101220100196 and 2101220100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101220100251) 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, 2032127240 + ... + 2032128273.

It is an arithmetic number, because the mean of its divisors is an integer number (292626397008).

Almost surely, 2^{2101220100221} is an apocalyptic number.

It is an amenable number.

2101220100221 is a deficient number, since it is larger than the sum of its proper divisors (239791075843).

2101220100221 is a wasteful number, since it uses less digits than its factorization.

2101220100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064255571.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2101220100221 its reverse (1220010221012), we get a palindrome (3321230321233).

The spelling of 2101220100221 in words is "two trillion, one hundred one billion, two hundred twenty million, one hundred thousand, two hundred twenty-one".