2101356765960 has 128 divisors (see below), whose sum is σ = 6421367145600. Its totient is φ = 550031523840.

The previous prime is 2101356765941. The next prime is 2101356765961. The reversal of 2101356765960 is 695676531012.

It is not an unprimeable number, because it can be changed into a prime (2101356765961) 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, 648840 + ... + 2150280.

It is an arithmetic number, because the mean of its divisors is an integer number (50166930825).

Almost surely, 2^{2101356765960} is an apocalyptic number.

2101356765960 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 2101356765960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210683572800).

2101356765960 is an abundant number, since it is smaller than the sum of its proper divisors (4320010379640).

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

2101356765960 is a wasteful number, since it uses less digits than its factorization.

2101356765960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501671 (or 1501667 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 2101356765960 in words is "two trillion, one hundred one billion, three hundred fifty-six million, seven hundred sixty-five thousand, nine hundred sixty".