1020121220221 has 8 divisors (see below), whose sum is σ = 1026046112000. Its totient is φ = 1014199503120.

The previous prime is 1020121220179. The next prime is 1020121220303. The reversal of 1020121220221 is 1220221210201.

It is a happy number.

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 1020121220221 - 2¹³ = 1020121212029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020121220195 and 1020121220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020125220221) 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, 147621 + ... + 1435978.

It is an arithmetic number, because the mean of its divisors is an integer number (128255764000).

Almost surely, 2^{1020121220221} is an apocalyptic number.

It is an amenable number.

1020121220221 is a deficient number, since it is larger than the sum of its proper divisors (5924891779).

1020121220221 is a wasteful number, since it uses less digits than its factorization.

1020121220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587339.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1020121220221 its reverse (1220221210201), we get a palindrome (2240342430422).

The spelling of 1020121220221 in words is "one trillion, twenty billion, one hundred twenty-one million, two hundred twenty thousand, two hundred twenty-one".