21011010100221 has 8 divisors (see below), whose sum is σ = 28697965015104. Its totient is φ = 13665697626080.

The previous prime is 21011010100211. The next prime is 21011010100231. The reversal of 21011010100221 is 12200101011012.

It is an interprime number because it is at equal distance from previous prime (21011010100211) and next prime (21011010100231).

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 21011010100221 - 2¹⁷ = 21011009969149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21011010100197 and 21011010100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011010100211) 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, 85410610041 + ... + 85410610286.

It is an arithmetic number, because the mean of its divisors is an integer number (3587245626888).

Almost surely, 2^{21011010100221} is an apocalyptic number.

It is an amenable number.

21011010100221 is a deficient number, since it is larger than the sum of its proper divisors (7686954914883).

21011010100221 is a wasteful number, since it uses less digits than its factorization.

21011010100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170821220371.

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

Adding to 21011010100221 its reverse (12200101011012), we get a palindrome (33211111111233).

The spelling of 21011010100221 in words is "twenty-one trillion, eleven billion, ten million, one hundred thousand, two hundred twenty-one".