210101000 has 32 divisors (see below), whose sum is σ = 491638680. Its totient is φ = 84040000.

The previous prime is 210100997. The next prime is 210101009. The reversal of 210101000 is 101012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24542116 + 185558884 = 4954^2 + 13622^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (210101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104051 + ... + 106050.

Almost surely, 2^210101000 is an apocalyptic number.

210101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210101000 is an abundant number, since it is smaller than the sum of its proper divisors (281537680).

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

210101000 is a wasteful number, since it uses less digits than its factorization.

210101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210122 (or 210108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 210101000 is about 14494.8611583554. The cubic root of 210101000 is about 594.4874714507.

Adding to 210101000 its reverse (101012), we get a palindrome (210202012).

The spelling of 210101000 in words is "two hundred ten million, one hundred one thousand".