100101102012200 has 48 divisors (see below), whose sum is σ = 232763008789500. Its totient is φ = 40035632785920.

The previous prime is 100101102012193. The next prime is 100101102012271. The reversal of 100101102012200 is 2210201101001.

It can be written as a sum of positive squares in 6 ways, for example, as 21150377894116 + 78950724118084 = 4598954^2 + 8885422^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28380155 + ... + 31711754.

Almost surely, 2^{100101102012200} is an apocalyptic number.

100101102012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101102012200 is an abundant number, since it is smaller than the sum of its proper divisors (132661906777300).

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

100101102012200 is a wasteful number, since it uses less digits than its factorization.

100101102012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60100254 (or 60100245 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100101102012200 its reverse (2210201101001), we get a palindrome (102311303113201).

The spelling of 100101102012200 in words is "one hundred trillion, one hundred one billion, one hundred two million, twelve thousand, two hundred".