1011220212321 has 24 divisors (see below), whose sum is σ = 1605068865504. Its totient is φ = 608387290560.

The previous prime is 1011220212311. The next prime is 1011220212329. The reversal of 1011220212321 is 1232120221101.

1011220212321 is a `hidden beast` number, since 1 + 0 + 112 + 20 + 212 + 321 = 666.

It is not a de Polignac number, because 1011220212321 - 2⁷ = 1011220212193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011220212294 and 1011220212303.

It is not an unprimeable number, because it can be changed into a prime (1011220212329) 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 23 ways as a sum of consecutive naturals, for example, 37265071 + ... + 37292196.

It is an arithmetic number, because the mean of its divisors is an integer number (66877869396).

Almost surely, 2^{1011220212321} is an apocalyptic number.

1011220212321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011220212321 is a deficient number, since it is larger than the sum of its proper divisors (593848653183).

1011220212321 is a wasteful number, since it uses less digits than its factorization.

1011220212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74557421 (or 74557418 counting only the distinct ones).

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

Adding to 1011220212321 its reverse (1232120221101), we get a palindrome (2243340433422).

The spelling of 1011220212321 in words is "one trillion, eleven billion, two hundred twenty million, two hundred twelve thousand, three hundred twenty-one".