2121023300220 has 288 divisors, whose sum is σ = 7248667345920. Its totient is φ = 497492513280.

The previous prime is 2121023300191. The next prime is 2121023300243. The reversal of 2121023300220 is 220033201212.

2121023300220 is a `hidden beast` number, since 2 + 1 + 210 + 233 + 0 + 0 + 220 = 666.

It is a super-2 number, since 2×2121023300220² (a number of 25 digits) contains 22 as substring.

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 = 2121023300193 and 2121023300202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13032669 + ... + 13194411.

It is an arithmetic number, because the mean of its divisors is an integer number (25168983840).

Almost surely, 2^{2121023300220} is an apocalyptic number.

2121023300220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121023300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624333672960).

2121023300220 is an abundant number, since it is smaller than the sum of its proper divisors (5127644045700).

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

2121023300220 is a wasteful number, since it uses less digits than its factorization.

2121023300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161985 (or 161980 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2121023300220 its reverse (220033201212), we get a palindrome (2341056501432).

The spelling of 2121023300220 in words is "two trillion, one hundred twenty-one billion, twenty-three million, three hundred thousand, two hundred twenty".