1020111223221 has 12 divisors (see below), whose sum is σ = 1488083039820. Its totient is φ = 673340740800.

The previous prime is 1020111223121. The next prime is 1020111223259. The reversal of 1020111223221 is 1223221110201.

1020111223221 is a `hidden beast` number, since 10 + 201 + 11 + 223 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1000772148996 + 19339074225 = 1000386^2 + 139065^2 .

It is not a de Polignac number, because 1020111223221 - 2¹⁴ = 1020111206837 is a prime.

It is a super-4 number, since 4×1020111223221⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1020111223194 and 1020111223203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020111223121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561116376 + ... + 561118193.

It is an arithmetic number, because the mean of its divisors is an integer number (124006919985).

Almost surely, 2^{1020111223221} is an apocalyptic number.

It is an amenable number.

1020111223221 is a deficient number, since it is larger than the sum of its proper divisors (467971816599).

1020111223221 is a wasteful number, since it uses less digits than its factorization.

1020111223221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122234676 (or 1122234673 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1020111223221 its reverse (1223221110201), we get a palindrome (2243332333422).

The spelling of 1020111223221 in words is "one trillion, twenty billion, one hundred eleven million, two hundred twenty-three thousand, two hundred twenty-one".