2101818163200 has 1056 divisors, whose sum is σ = 8388069129216. Its totient is φ = 453991464960.

The previous prime is 2101818163183. The next prime is 2101818163217. The reversal of 2101818163200 is 23618181012.

It is an interprime number because it is at equal distance from previous prime (2101818163183) and next prime (2101818163217).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25323110359 + ... + 25323110441.

Almost surely, 2^{2101818163200} is an apocalyptic number.

2101818163200 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 2101818163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194034564608).

2101818163200 is an abundant number, since it is smaller than the sum of its proper divisors (6286250966016).

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

2101818163200 is an frugal number, since it uses more digits than its factorization.

2101818163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 2101818163200 in words is "two trillion, one hundred one billion, eight hundred eighteen million, one hundred sixty-three thousand, two hundred".