210102000 has 240 divisors, whose sum is σ = 722266272. Its totient is φ = 52531200.

The previous prime is 210101977. The next prime is 210102037. The reversal of 210102000 is 201012.

It is a happy number.

210102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 210102000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2165952 + ... + 2166048.

Almost surely, 2^210102000 is an apocalyptic number.

210102000 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 210102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361133136).

210102000 is an abundant number, since it is smaller than the sum of its proper divisors (512164272).

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

210102000 is a wasteful number, since it uses less digits than its factorization.

210102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 210102000 is about 14494.8956532981. The cubic root of 210102000 is about 594.4884146265.

Adding to 210102000 its reverse (201012), we get a palindrome (210303012).

The spelling of 210102000 in words is "two hundred ten million, one hundred two thousand".