10102201221121 has 8 divisors (see below), whose sum is σ = 10217751467040. Its totient is φ = 9986696361312.

The previous prime is 10102201221113. The next prime is 10102201221131. The reversal of 10102201221121 is 12112210220101.

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 10102201221121 - 2³ = 10102201221113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102201221095 and 10102201221104.

It is not an unprimeable number, because it can be changed into a prime (10102201221131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10898715 + ... + 11789248.

It is an arithmetic number, because the mean of its divisors is an integer number (1277218933380).

Almost surely, 2^{10102201221121} is an apocalyptic number.

It is an amenable number.

10102201221121 is a deficient number, since it is larger than the sum of its proper divisors (115550245919).

10102201221121 is an equidigital number, since it uses as much as digits as its factorization.

10102201221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22693055.

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

Adding to 10102201221121 its reverse (12112210220101), we get a palindrome (22214411441222).

The spelling of 10102201221121 in words is "ten trillion, one hundred two billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty-one".