2101315545186 has 96 divisors (see below), whose sum is σ = 4965212639232. Its totient is φ = 587694444480.

The previous prime is 2101315545041. The next prime is 2101315545187. The reversal of 2101315545186 is 6815455131012.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2101315545187) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137666191 + ... + 137681453.

It is an arithmetic number, because the mean of its divisors is an integer number (51720964992).

Almost surely, 2^{2101315545186} is an apocalyptic number.

2101315545186 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101315545186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482606319616).

2101315545186 is an abundant number, since it is smaller than the sum of its proper divisors (2863897094046).

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

2101315545186 is a wasteful number, since it uses less digits than its factorization.

2101315545186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27648 (or 27635 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 2101315545186 in words is "two trillion, one hundred one billion, three hundred fifteen million, five hundred forty-five thousand, one hundred eighty-six".