100202120020020 has 96 divisors (see below), whose sum is σ = 281096937031680. Its totient is φ = 26670034944000.

The previous prime is 100202120020019. The next prime is 100202120020021. The reversal of 100202120020020 is 20020021202001.

It is an interprime number because it is at equal distance from previous prime (100202120020019) and next prime (100202120020021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100202120019978 and 100202120020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202120020021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77473645 + ... + 78756395.

It is an arithmetic number, because the mean of its divisors is an integer number (2928093094080).

Almost surely, 2^{100202120020020} is an apocalyptic number.

100202120020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202120020020 is an abundant number, since it is smaller than the sum of its proper divisors (180894817011660).

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

100202120020020 is a wasteful number, since it uses less digits than its factorization.

100202120020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285225 (or 1285223 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100202120020020 its reverse (20020021202001), we get a palindrome (120222141222021).

The spelling of 100202120020020 in words is "one hundred trillion, two hundred two billion, one hundred twenty million, twenty thousand, twenty".