10101102320221 has 16 divisors (see below), whose sum is σ = 11258575176960. Its totient is φ = 8983659041280.

The previous prime is 10101102320171. The next prime is 10101102320269. The reversal of 10101102320221 is 12202320110101.

It is not a de Polignac number, because 10101102320221 - 2⁹ = 10101102319709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101102320195 and 10101102320204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141102320221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2880876 + ... + 5338693.

It is an arithmetic number, because the mean of its divisors is an integer number (703660948560).

Almost surely, 2^{10101102320221} is an apocalyptic number.

10101102320221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101102320221 is a deficient number, since it is larger than the sum of its proper divisors (1157472856739).

10101102320221 is a wasteful number, since it uses less digits than its factorization.

10101102320221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8222004.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10101102320221 its reverse (12202320110101), we get a palindrome (22303422430322).

The spelling of 10101102320221 in words is "ten trillion, one hundred one billion, one hundred two million, three hundred twenty thousand, two hundred twenty-one".