1020111122221 has 16 divisors (see below), whose sum is σ = 1032385590720. Its totient is φ = 1007881235200.

The previous prime is 1020111122203. The next prime is 1020111122237. The reversal of 1020111122221 is 1222211110201.

It is a cyclic number.

It is not a de Polignac number, because 1020111122221 - 2⁵ = 1020111122189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020111122195 and 1020111122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020111122281) 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 15 ways as a sum of consecutive naturals, for example, 149288421 + ... + 149295253.

It is an arithmetic number, because the mean of its divisors is an integer number (64524099420).

Almost surely, 2^{1020111122221} is an apocalyptic number.

It is an amenable number.

1020111122221 is a deficient number, since it is larger than the sum of its proper divisors (12274468499).

1020111122221 is a wasteful number, since it uses less digits than its factorization.

1020111122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9836.

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

Adding to 1020111122221 its reverse (1222211110201), we get a palindrome (2242322232422).

The spelling of 1020111122221 in words is "one trillion, twenty billion, one hundred eleven million, one hundred twenty-two thousand, two hundred twenty-one".