101221201200200 has 24 divisors (see below), whose sum is σ = 235339292790930. Its totient is φ = 40488480480000.

The previous prime is 101221201200191. The next prime is 101221201200233. The reversal of 101221201200200 is 2002102122101.

It can be written as a sum of positive squares in 3 ways, for example, as 61164631091524 + 40056570108676 = 7820782^2 + 6329026^2 .

It is a super-2 number, since 2×101221201200200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 253053002801 + ... + 253053003200.

Almost surely, 2^{101221201200200} is an apocalyptic number.

101221201200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221201200200 is an abundant number, since it is smaller than the sum of its proper divisors (134118091590730).

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

101221201200200 is a wasteful number, since it uses less digits than its factorization.

101221201200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506106006017 (or 506106006008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101221201200200 its reverse (2002102122101), we get a palindrome (103223303322301).

The spelling of 101221201200200 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred one million, two hundred thousand, two hundred".