101201020000221 has 24 divisors (see below), whose sum is σ = 138778090244640. Its totient is φ = 65597152881280.

The previous prime is 101201020000187. The next prime is 101201020000291. The reversal of 101201020000221 is 122000020102101.

It is not a de Polignac number, because 101201020000221 - 2¹³ = 101201019992029 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101201020000197 and 101201020000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201020000291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32767491 + ... + 35722688.

It is an arithmetic number, because the mean of its divisors is an integer number (5782420426860).

Almost surely, 2^{101201020000221} is an apocalyptic number.

It is an amenable number.

101201020000221 is a deficient number, since it is larger than the sum of its proper divisors (37577070244419).

101201020000221 is an equidigital number, since it uses as much as digits as its factorization.

101201020000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68490557 (or 68490516 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101201020000221 its reverse (122000020102101), we get a palindrome (223201040102322).

The spelling of 101201020000221 in words is "one hundred one trillion, two hundred one billion, twenty million, two hundred twenty-one", and thus it is an aban number.