10222020222120 has 384 divisors, whose sum is σ = 40211458560000. Its totient is φ = 2286749097216.

The previous prime is 10222020222097. The next prime is 10222020222121. The reversal of 10222020222120 is 2122202022201.

10222020222120 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 202 + 221 + 20 = 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 = 10222020222093 and 10222020222102.

It is not an unprimeable number, because it can be changed into a prime (10222020222121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1599631 + ... + 4796129.

It is an arithmetic number, because the mean of its divisors is an integer number (104717340000).

Almost surely, 2^{10222020222120} is an apocalyptic number.

10222020222120 is a gapful number since it is divisible by the number (10) 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 10222020222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20105729280000).

10222020222120 is an abundant number, since it is smaller than the sum of its proper divisors (29989438337880).

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

10222020222120 is a wasteful number, since it uses less digits than its factorization.

10222020222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196579 (or 3196563 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10222020222120 its reverse (2122202022201), we get a palindrome (12344222244321).

The spelling of 10222020222120 in words is "ten trillion, two hundred twenty-two billion, twenty million, two hundred twenty-two thousand, one hundred twenty".