2165102165100 has 288 divisors, whose sum is σ = 7237898744832. Its totient is φ = 489456000000.

The previous prime is 2165102165099. The next prime is 2165102165119. The reversal of 2165102165100 is 15612015612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218670150 + ... + 218680050.

It is an arithmetic number, because the mean of its divisors is an integer number (25131592864).

Almost surely, 2^{2165102165100} is an apocalyptic number.

2165102165100 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 2165102165100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618949372416).

2165102165100 is an abundant number, since it is smaller than the sum of its proper divisors (5072796579732).

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

2165102165100 is a wasteful number, since it uses less digits than its factorization.

2165102165100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11057 (or 11050 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 2165102165100 in words is "two trillion, one hundred sixty-five billion, one hundred two million, one hundred sixty-five thousand, one hundred".