222121001001820 has 24 divisors (see below), whose sum is σ = 468896270185728. Its totient is φ = 88383225528000.

The previous prime is 222121001001811. The next prime is 222121001001821. The reversal of 222121001001820 is 28100100121222.

It is a junction number, because it is equal to n+sod(n) for n = 222121001001791 and 222121001001800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222121001001821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29073425631 + ... + 29073433270.

It is an arithmetic number, because the mean of its divisors is an integer number (19537344591072).

Almost surely, 2^{222121001001820} is an apocalyptic number.

222121001001820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222121001001820 is an abundant number, since it is smaller than the sum of its proper divisors (246775269183908).

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

222121001001820 is a wasteful number, since it uses less digits than its factorization.

222121001001820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58146859101 (or 58146859099 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 222121001001820 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, one million, one thousand, eight hundred twenty".