10201022100221 has 8 divisors (see below), whose sum is σ = 10203391463040. Its totient is φ = 10198653024112.

The previous prime is 10201022100193. The next prime is 10201022100281. The reversal of 10201022100221 is 12200122010201.

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-10201022100221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201022100196 and 10201022100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201022100281) 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, 81504536 + ... + 81629598.

It is an arithmetic number, because the mean of its divisors is an integer number (1275423932880).

Almost surely, 2^{10201022100221} is an apocalyptic number.

It is an amenable number.

10201022100221 is a deficient number, since it is larger than the sum of its proper divisors (2369362819).

10201022100221 is a wasteful number, since it uses less digits than its factorization.

10201022100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143355.

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

Adding to 10201022100221 its reverse (12200122010201), we get a palindrome (22401144110422).

The spelling of 10201022100221 in words is "ten trillion, two hundred one billion, twenty-two million, one hundred thousand, two hundred twenty-one".