100200220201220 has 12 divisors (see below), whose sum is σ = 210420462422604. Its totient is φ = 40080088080480.

The previous prime is 100200220201181. The next prime is 100200220201229. The reversal of 100200220201220 is 22102022002001.

It can be written as a sum of positive squares in 2 ways, for example, as 40562657929924 + 59637562271296 = 6368882^2 + 7722536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100200220201195 and 100200220201204.

It is not an unprimeable number, because it can be changed into a prime (100200220201229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2505005505011 + ... + 2505005505050.

It is an arithmetic number, because the mean of its divisors is an integer number (17535038535217).

Almost surely, 2^{100200220201220} is an apocalyptic number.

100200220201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200220201220 is an abundant number, since it is smaller than the sum of its proper divisors (110220242221384).

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

100200220201220 is a wasteful number, since it uses less digits than its factorization.

100200220201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010011010070 (or 5010011010068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100200220201220 its reverse (22102022002001), we get a palindrome (122302242203221).

The spelling of 100200220201220 in words is "one hundred trillion, two hundred billion, two hundred twenty million, two hundred one thousand, two hundred twenty".