210002022100 has 288 divisors, whose sum is σ = 526299814656. Its totient is φ = 72139161600.

The previous prime is 210002022067. The next prime is 210002022107. The reversal of 210002022100 is 1220200012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210002022107) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 176917707 + ... + 176918893.

It is an arithmetic number, because the mean of its divisors is an integer number (1827429912).

Almost surely, 2^210002022100 is an apocalyptic number.

210002022100 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 210002022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263149907328).

210002022100 is an abundant number, since it is smaller than the sum of its proper divisors (316297792556).

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

210002022100 is a wasteful number, since it uses less digits than its factorization.

210002022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1388 counting only the distinct ones).

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

Adding to 210002022100 its reverse (1220200012), we get a palindrome (211222222112).

The spelling of 210002022100 in words is "two hundred ten billion, two million, twenty-two thousand, one hundred".