100102012200200 has 48 divisors (see below), whose sum is σ = 233129652804180. Its totient is φ = 39973282396160.

The previous prime is 100102012200173. The next prime is 100102012200217. The reversal of 100102012200200 is 2002210201001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20010287637796 + 80091724562404 = 4473286^2 + 8949398^2 .

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, 421896629 + ... + 422133828.

Almost surely, 2^{100102012200200} is an apocalyptic number.

100102012200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102012200200 is an abundant number, since it is smaller than the sum of its proper divisors (133027640603980).

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

100102012200200 is a wasteful number, since it uses less digits than its factorization.

100102012200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844031066 (or 844031057 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100102012200200 its reverse (2002210201001), we get a palindrome (102104222401201).

The spelling of 100102012200200 in words is "one hundred trillion, one hundred two billion, twelve million, two hundred thousand, two hundred".