210100001000 has 64 divisors (see below), whose sum is σ = 492775695360. Its totient is φ = 83844840000.

The previous prime is 210100000993. The next prime is 210100001057. The reversal of 210100001000 is 100001012.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187265 + ... + 674735.

It is an arithmetic number, because the mean of its divisors is an integer number (7699620240).

Almost surely, 2^210100001000 is an apocalyptic number.

210100001000 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 210100001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246387847680).

210100001000 is an abundant number, since it is smaller than the sum of its proper divisors (282675694360).

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

210100001000 is a wasteful number, since it uses less digits than its factorization.

210100001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487923 (or 487909 counting only the distinct ones).

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

Adding to 210100001000 its reverse (100001012), we get a palindrome (210200002012).

The spelling of 210100001000 in words is "two hundred ten billion, one hundred million, one thousand".