10122230220300 has 648 divisors, whose sum is σ = 36338069214720. Its totient is φ = 2337073939200.

The previous prime is 10122230220287. The next prime is 10122230220353. The reversal of 10122230220300 is 302203222101.

10122230220300 is a `hidden beast` number, since 1 + 0 + 122 + 23 + 0 + 220 + 300 = 666.

10122230220300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1251662857 + ... + 1251670943.

Almost surely, 2^{10122230220300} is an apocalyptic number.

10122230220300 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 10122230220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18169034607360).

10122230220300 is an abundant number, since it is smaller than the sum of its proper divisors (26215838994420).

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

10122230220300 is a wasteful number, since it uses less digits than its factorization.

10122230220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8403 (or 8370 counting only the distinct ones).

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

Adding to 10122230220300 its reverse (302203222101), we get a palindrome (10424433442401).

The spelling of 10122230220300 in words is "ten trillion, one hundred twenty-two billion, two hundred thirty million, two hundred twenty thousand, three hundred".