100101200012200 has 48 divisors (see below), whose sum is σ = 233838300980160. Its totient is φ = 39850714680000.

The previous prime is 100101200012117. The next prime is 100101200012243. The reversal of 100101200012200 is 2210002101001.

100101200012200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 11 ways as a sum of consecutive naturals, for example, 1185990976 + ... + 1186075375.

It is an arithmetic number, because the mean of its divisors is an integer number (4871631270420).

Almost surely, 2^{100101200012200} is an apocalyptic number.

100101200012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101200012200 is an abundant number, since it is smaller than the sum of its proper divisors (133737100967960).

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

100101200012200 is a wasteful number, since it uses less digits than its factorization.

100101200012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372066578 (or 2372066569 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100101200012200 its reverse (2210002101001), we get a palindrome (102311202113201).

The spelling of 100101200012200 in words is "one hundred trillion, one hundred one billion, two hundred million, twelve thousand, two hundred".