2001101102520 has 256 divisors, whose sum is σ = 6864081315840. Its totient is φ = 462338039808.

The previous prime is 2001101102509. The next prime is 2001101102551. The reversal of 2001101102520 is 252011011002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2001101102520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9630039 + ... + 9835641.

It is an arithmetic number, because the mean of its divisors is an integer number (26812817640).

Almost surely, 2^{2001101102520} is an apocalyptic number.

2001101102520 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 2001101102520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432040657920).

2001101102520 is an abundant number, since it is smaller than the sum of its proper divisors (4862980213320).

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

2001101102520 is a wasteful number, since it uses less digits than its factorization.

2001101102520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206014 (or 206010 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 2001101102520 its reverse (252011011002), we get a palindrome (2253112113522).

The spelling of 2001101102520 in words is "two trillion, one billion, one hundred one million, one hundred two thousand, five hundred twenty".