10201002100221 has 8 divisors (see below), whose sum is σ = 13601703855520. Its totient is φ = 6800484205872.

The previous prime is 10201002100151. The next prime is 10201002100259. The reversal of 10201002100221 is 12200120010201.

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

It is not a de Polignac number, because 10201002100221 - 2¹⁵ = 10201002067453 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201002100197 and 10201002100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201002100021) 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, 45835726 + ... + 46057743.

It is an arithmetic number, because the mean of its divisors is an integer number (1700212981940).

Almost surely, 2^{10201002100221} is an apocalyptic number.

It is an amenable number.

10201002100221 is a deficient number, since it is larger than the sum of its proper divisors (3400701755299).

10201002100221 is an equidigital number, since it uses as much as digits as its factorization.

10201002100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91930475.

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

Adding to 10201002100221 its reverse (12200120010201), we get a palindrome (22401122110422).

The spelling of 10201002100221 in words is "ten trillion, two hundred one billion, two million, one hundred thousand, two hundred twenty-one".