2102365771000 has 128 divisors (see below), whose sum is σ = 5377081993920. Its totient is φ = 763027200000.

The previous prime is 2102365770991. The next prime is 2102365771021. The reversal of 2102365771000 is 1775632012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5547580 + ... + 5914420.

Almost surely, 2^{2102365771000} is an apocalyptic number.

2102365771000 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 2102365771000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688540996960).

2102365771000 is an abundant number, since it is smaller than the sum of its proper divisors (3274716222920).

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

2102365771000 is a wasteful number, since it uses less digits than its factorization.

2102365771000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367394 (or 367380 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 2102365771000 in words is "two trillion, one hundred two billion, three hundred sixty-five million, seven hundred seventy-one thousand".