210003020100 has 216 divisors, whose sum is σ = 685301806280. Its totient is φ = 53740247040.

The previous prime is 210003020099. The next prime is 210003020111. The reversal of 210003020100 is 1020300012.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 57842174016 + 152160846084 = 240504^2 + 390078^2 .

It is a super-2 number, since 2×210003020100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2387706 + ... + 2474094.

Almost surely, 2^210003020100 is an apocalyptic number.

210003020100 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 210003020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342650903140).

210003020100 is an abundant number, since it is smaller than the sum of its proper divisors (475298786180).

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

210003020100 is a wasteful number, since it uses less digits than its factorization.

210003020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86519 (or 86509 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 210003020100 its reverse (1020300012), we get a palindrome (211023320112).

The spelling of 210003020100 in words is "two hundred ten billion, three million, twenty thousand, one hundred".