2101585002272 has 192 divisors, whose sum is σ = 4968846973440. Its totient is φ = 856230912000.

The previous prime is 2101585002269. The next prime is 2101585002331. The reversal of 2101585002272 is 2722005851012.

It is a super-3 number, since 3×2101585002272³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

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, 76327004 + ... + 76354532.

It is an arithmetic number, because the mean of its divisors is an integer number (25879411320).

Almost surely, 2^{2101585002272} 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 2101585002272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484423486720).

2101585002272 is an abundant number, since it is smaller than the sum of its proper divisors (2867261971168).

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

2101585002272 is a wasteful number, since it uses less digits than its factorization.

2101585002272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27795 (or 27787 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The spelling of 2101585002272 in words is "two trillion, one hundred one billion, five hundred eighty-five million, two thousand, two hundred seventy-two".