10122101012221 has 8 divisors (see below), whose sum is σ = 11398494981888. Its totient is φ = 8905074204000.

The previous prime is 10122101012189. The next prime is 10122101012227. The reversal of 10122101012221 is 12221010122101.

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 10122101012221 - 2⁵ = 10122101012189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122101012195 and 10122101012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122101012227) 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, 14841790000 + ... + 14841790681.

It is an arithmetic number, because the mean of its divisors is an integer number (1424811872736).

Almost surely, 2^{10122101012221} is an apocalyptic number.

10122101012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122101012221 is a deficient number, since it is larger than the sum of its proper divisors (1276393969667).

10122101012221 is a wasteful number, since it uses less digits than its factorization.

10122101012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29683580723.

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

Adding to 10122101012221 its reverse (12221010122101), we get a palindrome (22343111134322).

The spelling of 10122101012221 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, twelve thousand, two hundred twenty-one".