100200102210020 has 24 divisors (see below), whose sum is σ = 210761252292024. Its totient is φ = 40015081331456.

The previous prime is 100200102210007. The next prime is 100200102210037. The reversal of 100200102210020 is 20012201002001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 339133851904 + 99860968358116 = 582352^2 + 9993046^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100200102209983 and 100200102210010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4059959387 + ... + 4059984066.

It is an arithmetic number, because the mean of its divisors is an integer number (8781718845501).

Almost surely, 2^{100200102210020} is an apocalyptic number.

100200102210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200102210020 is an abundant number, since it is smaller than the sum of its proper divisors (110561150082004).

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

100200102210020 is a wasteful number, since it uses less digits than its factorization.

100200102210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8119944079 (or 8119944077 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100200102210020 its reverse (20012201002001), we get a palindrome (120212303212021).

The spelling of 100200102210020 in words is "one hundred trillion, two hundred billion, one hundred two million, two hundred ten thousand, twenty".