10122101102221 has 8 divisors (see below), whose sum is σ = 10195575887840. Its totient is φ = 10048635658512.

The previous prime is 10122101102213. The next prime is 10122101102227. The reversal of 10122101102221 is 12220110122101.

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 10122101102221 - 2³ = 10122101102213 is a prime.

It is a super-2 number, since 2×10122101102221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122101102195 and 10122101102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122101102227) 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, 153210 + ... + 4501963.

It is an arithmetic number, because the mean of its divisors is an integer number (1274446985980).

Almost surely, 2^{10122101102221} is an apocalyptic number.

It is an amenable number.

10122101102221 is a deficient number, since it is larger than the sum of its proper divisors (73474785619).

10122101102221 is a wasteful number, since it uses less digits than its factorization.

10122101102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670955.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10122101102221 its reverse (12220110122101), we get a palindrome (22342211224322).

The spelling of 10122101102221 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, one hundred two thousand, two hundred twenty-one".