2001403144100 has 72 divisors (see below), whose sum is σ = 4348506422568. Its totient is φ = 799555276800.

The previous prime is 2001403143983. The next prime is 2001403144127. The reversal of 2001403144100 is 14413041002.

It can be written as a sum of positive squares in 12 ways, for example, as 344684061604 + 1656719082496 = 587098^2 + 1287136^2 .

It is a super-2 number, since 2×2001403144100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 341475170 + ... + 341481030.

Almost surely, 2^{2001403144100} is an apocalyptic number.

2001403144100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001403144100 is an abundant number, since it is smaller than the sum of its proper divisors (2347103278468).

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

2001403144100 is a wasteful number, since it uses less digits than its factorization.

2001403144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9585 (or 9578 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2001403144100 its reverse (14413041002), we get a palindrome (2015816185102).

The spelling of 2001403144100 in words is "two trillion, one billion, four hundred three million, one hundred forty-four thousand, one hundred".