2101335509652 has 96 divisors (see below), whose sum is σ = 5247223027200. Its totient is φ = 652189612032.

The previous prime is 2101335509629. The next prime is 2101335509659. The reversal of 2101335509652 is 2569055331012.

It is a super-2 number, since 2×2101335509652² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101335509659) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14447749 + ... + 14592467.

It is an arithmetic number, because the mean of its divisors is an integer number (54658573200).

Almost surely, 2^{2101335509652} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101335509652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623611513600).

2101335509652 is an abundant number, since it is smaller than the sum of its proper divisors (3145887517548).

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

2101335509652 is a wasteful number, since it uses less digits than its factorization.

2101335509652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145505 (or 145503 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The spelling of 2101335509652 in words is "two trillion, one hundred one billion, three hundred thirty-five million, five hundred nine thousand, six hundred fifty-two".