10221122230020 has 576 divisors, whose sum is σ = 35828729314560. Its totient is φ = 2337502924800.

The previous prime is 10221122230019. The next prime is 10221122230073. The reversal of 10221122230020 is 2003222112201.

10221122230020 is a `hidden beast` number, since 1 + 0 + 221 + 122 + 2 + 300 + 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 = 10221122229975 and 10221122230002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 941079390 + ... + 941090250.

It is an arithmetic number, because the mean of its divisors is an integer number (62202655060).

Almost surely, 2^{10221122230020} is an apocalyptic number.

10221122230020 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 10221122230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17914364657280).

10221122230020 is an abundant number, since it is smaller than the sum of its proper divisors (25607607084540).

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

10221122230020 is a wasteful number, since it uses less digits than its factorization.

10221122230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11316 (or 11311 counting only the distinct ones).

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

Adding to 10221122230020 its reverse (2003222112201), we get a palindrome (12224344342221).

The spelling of 10221122230020 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred thirty thousand, twenty".