210401001000 has 192 divisors, whose sum is σ = 713996337600. Its totient is φ = 55882800000.

The previous prime is 210401000983. The next prime is 210401001037. The reversal of 210401001000 is 100104012.

It is a happy number.

210401001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2212431 + ... + 2305569.

It is an arithmetic number, because the mean of its divisors is an integer number (3718730925).

Almost surely, 2^210401001000 is an apocalyptic number.

210401001000 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 210401001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356998168800).

210401001000 is an abundant number, since it is smaller than the sum of its proper divisors (503595336600).

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

210401001000 is a wasteful number, since it uses less digits than its factorization.

210401001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93417 (or 93400 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210401001000 its reverse (100104012), we get a palindrome (210501105012).

The spelling of 210401001000 in words is "two hundred ten billion, four hundred one million, one thousand".