221012101200101 has 8 divisors (see below), whose sum is σ = 226403075031000. Its totient is φ = 215621148072960.

The previous prime is 221012101200089. The next prime is 221012101200161. The reversal of 221012101200101 is 101002101210122.

It can be written as a sum of positive squares in 4 ways, for example, as 2281972900 + 221009819227201 = 47770^2 + 14866399^2 .

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 221012101200101 - 2¹⁴ = 221012101183717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221012101200161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17646965 + ... + 27448853.

It is an arithmetic number, because the mean of its divisors is an integer number (28300384378875).

Almost surely, 2^{221012101200101} is an apocalyptic number.

It is an amenable number.

221012101200101 is a deficient number, since it is larger than the sum of its proper divisors (5390973830899).

221012101200101 is an equidigital number, since it uses as much as digits as its factorization.

221012101200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10351879.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221012101200101 its reverse (101002101210122), we get a palindrome (322014202410223).

The spelling of 221012101200101 in words is "two hundred twenty-one trillion, twelve billion, one hundred one million, two hundred thousand, one hundred one".