102802180217881 has 27 divisors (see below), whose sum is σ = 109031872758399. Its totient is φ = 96914289786912.

The previous prime is 102802180217813. The next prime is 102802180217917. The reversal of 102802180217881 is 188712081208201.

The square root of 102802180217881 is 10139141.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2136756915225 + 100665423302656 = 1461765^2 + 10033216^2 .

It is not a de Polignac number, because 102802180217881 - 2¹³ = 102802180209689 is a prime.

It is a super-2 number, since 2×102802180217881² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102802180212881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42959539221 + ... + 42959541613.

Almost surely, 2^{102802180217881} is an apocalyptic number.

102802180217881 is the 10139141-st square number.

102802180217881 is the 5069571-st centered octagonal number.

It is an amenable number.

102802180217881 is a deficient number, since it is larger than the sum of its proper divisors (6229692540518).

102802180217881 is an frugal number, since it uses more digits than its factorization.

102802180217881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 49.

The spelling of 102802180217881 in words is "one hundred two trillion, eight hundred two billion, one hundred eighty million, two hundred seventeen thousand, eight hundred eighty-one".