10122220221120 has 252 divisors, whose sum is σ = 40500501344784. Its totient is φ = 2313650304000.

The previous prime is 10122220221103. The next prime is 10122220221163. The reversal of 10122220221120 is 2112202222101.

It is a happy number.

10122220221120 is a `hidden beast` number, since 10 + 1 + 222 + 202 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 = 10122220221093 and 10122220221102.

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 35 ways as a sum of consecutive naturals, for example, 35722756 + ... + 36004995.

Almost surely, 2^{10122220221120} is an apocalyptic number.

10122220221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122220221120 is an abundant number, since it is smaller than the sum of its proper divisors (30378281123664).

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

10122220221120 is a wasteful number, since it uses less digits than its factorization.

10122220221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71727788 (or 71727768 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10122220221120 its reverse (2112202222101), we get a palindrome (12234422443221).

The spelling of 10122220221120 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty".