10220121232200 has 480 divisors, whose sum is σ = 38739262716000. Its totient is φ = 2476558540800.

The previous prime is 10220121232129. The next prime is 10220121232207. The reversal of 10220121232200 is 223212102201.

10220121232200 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 212 + 32 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10220121232207) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 473823016 + ... + 473844584.

It is an arithmetic number, because the mean of its divisors is an integer number (80706797325).

Almost surely, 2^{10220121232200} is an apocalyptic number.

10220121232200 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 10220121232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19369631358000).

10220121232200 is an abundant number, since it is smaller than the sum of its proper divisors (28519141483800).

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

10220121232200 is a wasteful number, since it uses less digits than its factorization.

10220121232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24267 (or 24249 counting only the distinct ones).

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

Adding to 10220121232200 its reverse (223212102201), we get a palindrome (10443333334401).

The spelling of 10220121232200 in words is "ten trillion, two hundred twenty billion, one hundred twenty-one million, two hundred thirty-two thousand, two hundred".