210000102020020 has 96 divisors (see below), whose sum is σ = 476169565132800. Its totient is φ = 77335210059264.

The previous prime is 210000102020011. The next prime is 210000102020021. The reversal of 210000102020020 is 20020201000012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 210000102019979 and 210000102020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210000102020021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222253146 + ... + 223196014.

It is an arithmetic number, because the mean of its divisors is an integer number (4960099636800).

Almost surely, 2^{210000102020020} is an apocalyptic number.

210000102020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210000102020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238084782566400).

210000102020020 is an abundant number, since it is smaller than the sum of its proper divisors (266169463112780).

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

210000102020020 is a wasteful number, since it uses less digits than its factorization.

210000102020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945137 (or 945135 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 210000102020020 its reverse (20020201000012), we get a palindrome (230020303020032).

The spelling of 210000102020020 in words is "two hundred ten trillion, one hundred two million, twenty thousand, twenty".