100201201110020 has 48 divisors (see below), whose sum is σ = 217975441566960. Its totient is φ = 38645600211456.

The previous prime is 100201201110001. The next prime is 100201201110077. The reversal of 100201201110020 is 20011102102001.

It can be written as a sum of positive squares in 8 ways, for example, as 7698316373056 + 92502884736964 = 2774584^2 + 9617842^2 .

It is a super-3 number, since 3×100201201110020³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100201201109983 and 100201201110010.

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 15 ways as a sum of consecutive naturals, for example, 117419807 + ... + 118270086.

It is an arithmetic number, because the mean of its divisors is an integer number (4541155032645).

Almost surely, 2^{100201201110020} is an apocalyptic number.

100201201110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201201110020 is an abundant number, since it is smaller than the sum of its proper divisors (117774240456940).

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

100201201110020 is a wasteful number, since it uses less digits than its factorization.

100201201110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235690664 (or 235690662 counting only the distinct ones).

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

Adding to 100201201110020 its reverse (20011102102001), we get a palindrome (120212303212021).

The spelling of 100201201110020 in words is "one hundred trillion, two hundred one billion, two hundred one million, one hundred ten thousand, twenty".