100200122200200 has 192 divisors, whose sum is σ = 345252154680000. Its totient is φ = 23832619033600.

The previous prime is 100200122200183. The next prime is 100200122200207. The reversal of 100200122200200 is 2002221002001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100200122200207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142875075 + ... + 143574674.

It is an arithmetic number, because the mean of its divisors is an integer number (1798188305625).

Almost surely, 2^{100200122200200} is an apocalyptic number.

100200122200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200122200200 is an abundant number, since it is smaller than the sum of its proper divisors (245052032479800).

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

100200122200200 is a wasteful number, since it uses less digits than its factorization.

100200122200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286449832 (or 286449823 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100200122200200 its reverse (2002221002001), we get a palindrome (102202343202201).

The spelling of 100200122200200 in words is "one hundred trillion, two hundred billion, one hundred twenty-two million, two hundred thousand, two hundred".