2001210110400 has 168 divisors, whose sum is σ = 6570989818624. Its totient is φ = 533220940800.

The previous prime is 2001210110399. The next prime is 2001210110477. The reversal of 2001210110400 is 40110121002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5739459 + ... + 6078141.

Almost surely, 2^{2001210110400} is an apocalyptic number.

2001210110400 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 2001210110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285494909312).

2001210110400 is an abundant number, since it is smaller than the sum of its proper divisors (4569779708224).

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

2001210110400 is a wasteful number, since it uses less digits than its factorization.

2001210110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339939 (or 339924 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2001210110400 its reverse (40110121002), we get a palindrome (2041320231402).

The spelling of 2001210110400 in words is "two trillion, one billion, two hundred ten million, one hundred ten thousand, four hundred".