2001224510010 has 384 divisors, whose sum is σ = 6069146054400. Its totient is φ = 452421365760.

The previous prime is 2001224510009. The next prime is 2001224510069. The reversal of 2001224510010 is 100154221002.

2001224510010 is a `hidden beast` number, since 20 + 0 + 122 + 4 + 510 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 321892422 + ... + 321898638.

It is an arithmetic number, because the mean of its divisors is an integer number (15805067850).

Almost surely, 2^{2001224510010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001224510010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034573027200).

2001224510010 is an abundant number, since it is smaller than the sum of its proper divisors (4067921544390).

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

2001224510010 is a wasteful number, since it uses less digits than its factorization.

2001224510010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 6523 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 2001224510010 its reverse (100154221002), we get a palindrome (2101378731012).

The spelling of 2001224510010 in words is "two trillion, one billion, two hundred twenty-four million, five hundred ten thousand, ten".