122201012201100 has 144 divisors (see below), whose sum is σ = 404374921015296. Its totient is φ = 27911136384000.

The previous prime is 122201012201087. The next prime is 122201012201141. The reversal of 122201012201100 is 1102210102221.

122201012201100 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122201012201100.

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 47 ways as a sum of consecutive naturals, for example, 18519916 + ... + 24236115.

Almost surely, 2^{122201012201100} is an apocalyptic number.

122201012201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201012201100 is an abundant number, since it is smaller than the sum of its proper divisors (282173908814196).

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

122201012201100 is a wasteful number, since it uses less digits than its factorization.

122201012201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42757416 (or 42757409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122201012201100 its reverse (1102210102221), we get a palindrome (123303222303321).

The spelling of 122201012201100 in words is "one hundred twenty-two trillion, two hundred one billion, twelve million, two hundred one thousand, one hundred".