100201221202100 has 18 divisors (see below), whose sum is σ = 217436650008774. Its totient is φ = 40080488480800.

The previous prime is 100201221202091. The next prime is 100201221202151. The reversal of 100201221202100 is 1202122102001.

It can be written as a sum of positive squares in 3 ways, for example, as 2962570748944 + 97238650453156 = 1721212^2 + 9860966^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501006105911 + ... + 501006106110.

Almost surely, 2^{100201221202100} is an apocalyptic number.

100201221202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201221202100 is an abundant number, since it is smaller than the sum of its proper divisors (117235428806674).

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

100201221202100 is a wasteful number, since it uses less digits than its factorization.

100201221202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002012212035 (or 1002012212028 counting only the distinct ones).

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

Adding to 100201221202100 its reverse (1202122102001), we get a palindrome (101403343304101).

The spelling of 100201221202100 in words is "one hundred trillion, two hundred one billion, two hundred twenty-one million, two hundred two thousand, one hundred".