221023012122 has 160 divisors (see below), whose sum is σ = 545248813824. Its totient is φ = 66363494400.

The previous prime is 221023012099. The next prime is 221023012123. The reversal of 221023012122 is 221210320122.

221023012122 is a `hidden beast` number, since 221 + 0 + 230 + 1 + 212 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221023012095 and 221023012104.

It is not an unprimeable number, because it can be changed into a prime (221023012123) 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 79 ways as a sum of consecutive naturals, for example, 96642063 + ... + 96644349.

Almost surely, 2^221023012122 is an apocalyptic number.

221023012122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221023012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272624406912).

221023012122 is an abundant number, since it is smaller than the sum of its proper divisors (324225801702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221023012122 is a wasteful number, since it uses less digits than its factorization.

221023012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221023012122 its reverse (221210320122), we get a palindrome (442233332244).

The spelling of 221023012122 in words is "two hundred twenty-one billion, twenty-three million, twelve thousand, one hundred twenty-two".