210002120400020 has 24 divisors (see below), whose sum is σ = 474927872289864. Its totient is φ = 77539244455296.

The previous prime is 210002120399987. The next prime is 210002120400029. The reversal of 210002120400020 is 20004021200012.

It can be written as a sum of positive squares in 4 ways, for example, as 19604456446864 + 190397663953156 = 4427692^2 + 13798466^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210002120399968 and 210002120400004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210002120400029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403850231279 + ... + 403850231798.

It is an arithmetic number, because the mean of its divisors is an integer number (19788661345411).

Almost surely, 2^{210002120400020} is an apocalyptic number.

210002120400020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002120400020 is an abundant number, since it is smaller than the sum of its proper divisors (264925751889844).

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

210002120400020 is a wasteful number, since it uses less digits than its factorization.

210002120400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807700463099 (or 807700463097 counting only the distinct ones).

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

Adding to 210002120400020 its reverse (20004021200012), we get a palindrome (230006141600032).

The spelling of 210002120400020 in words is "two hundred ten trillion, two billion, one hundred twenty million, four hundred thousand, twenty".