100101122100200 has 96 divisors (see below), whose sum is σ = 250646937256800. Its totient is φ = 36959068296960.

The previous prime is 100101122100193. The next prime is 100101122100209. The reversal of 100101122100200 is 2001221101001.

It is not an unprimeable number, because it can be changed into a prime (100101122100209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72162359 + ... + 73536441.

It is an arithmetic number, because the mean of its divisors is an integer number (2610905596425).

Almost surely, 2^{100101122100200} is an apocalyptic number.

100101122100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101122100200 is an abundant number, since it is smaller than the sum of its proper divisors (150545815156600).

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

100101122100200 is a wasteful number, since it uses less digits than its factorization.

100101122100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402131 (or 1402122 counting only the distinct ones).

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

Adding to 100101122100200 its reverse (2001221101001), we get a palindrome (102102343201201).

The spelling of 100101122100200 in words is "one hundred trillion, one hundred one billion, one hundred twenty-two million, one hundred thousand, two hundred".