100201112222020 has 96 divisors (see below), whose sum is σ = 214062866349696. Its totient is φ = 39393856128000.

The previous prime is 100201112221997. The next prime is 100201112222027. The reversal of 100201112222020 is 20222211102001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100201112221985 and 100201112222003.

It is not an unprimeable number, because it can be changed into a prime (100201112222027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 155466867 + ... + 156110053.

It is an arithmetic number, because the mean of its divisors is an integer number (2229821524476).

Almost surely, 2^{100201112222020} is an apocalyptic number.

100201112222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201112222020 is an abundant number, since it is smaller than the sum of its proper divisors (113861754127676).

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

100201112222020 is a wasteful number, since it uses less digits than its factorization.

100201112222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643861 (or 643859 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100201112222020 its reverse (20222211102001), we get a palindrome (120423323324021).

The spelling of 100201112222020 in words is "one hundred trillion, two hundred one billion, one hundred twelve million, two hundred twenty-two thousand, twenty".