100201021212200 has 24 divisors (see below), whose sum is σ = 232967374318830. Its totient is φ = 40080408484800.

The previous prime is 100201021212179. The next prime is 100201021212263. The reversal of 100201021212200 is 2212120102001.

It can be written as a sum of positive squares in 3 ways, for example, as 48444133473124 + 51756887739076 = 6960182^2 + 7194226^2 .

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, 250502552831 + ... + 250502553230.

Almost surely, 2^{100201021212200} is an apocalyptic number.

100201021212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201021212200 is an abundant number, since it is smaller than the sum of its proper divisors (132766353106630).

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

100201021212200 is a wasteful number, since it uses less digits than its factorization.

100201021212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501005106077 (or 501005106068 counting only the distinct ones).

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

Adding to 100201021212200 its reverse (2212120102001), we get a palindrome (102413141314201).

The spelling of 100201021212200 in words is "one hundred trillion, two hundred one billion, twenty-one million, two hundred twelve thousand, two hundred".