102177460220160 has 576 divisors, whose sum is σ = 380757673029888. Its totient is φ = 23121365041152.

The previous prime is 102177460220149. The next prime is 102177460220167. The reversal of 102177460220160 is 61022064771201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (102177460220167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35091504 + ... + 37891536.

It is an arithmetic number, because the mean of its divisors is an integer number (661037626788).

Almost surely, 2^{102177460220160} is an apocalyptic number.

102177460220160 is a gapful number since it is divisible by the number (10) 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 102177460220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190378836514944).

102177460220160 is an abundant number, since it is smaller than the sum of its proper divisors (278580212809728).

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

102177460220160 is a wasteful number, since it uses less digits than its factorization.

102177460220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800130 (or 2800116 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 102177460220160 in words is "one hundred two trillion, one hundred seventy-seven billion, four hundred sixty million, two hundred twenty thousand, one hundred sixty".