10221200220195 has 24 divisors (see below), whose sum is σ = 17733897900576. Its totient is φ = 5446029598848.

The previous prime is 10221200220193. The next prime is 10221200220197. The reversal of 10221200220195 is 59102200212201.

It is a happy number.

10221200220195 is a `hidden beast` number, since 1 + 0 + 221 + 200 + 220 + 19 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (10221200220193) and next prime (10221200220197).

It is not a de Polignac number, because 10221200220195 - 2¹ = 10221200220193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221200220193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109894359 + ... + 109987328.

It is an arithmetic number, because the mean of its divisors is an integer number (738912412524).

Almost surely, 2^{10221200220195} is an apocalyptic number.

10221200220195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10221200220195 is a deficient number, since it is larger than the sum of its proper divisors (7512697680381).

10221200220195 is a wasteful number, since it uses less digits than its factorization.

10221200220195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219882731 (or 219882728 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 10221200220195 its reverse (59102200212201), we get a palindrome (69323400432396).

The spelling of 10221200220195 in words is "ten trillion, two hundred twenty-one billion, two hundred million, two hundred twenty thousand, one hundred ninety-five".