102502280684281 has 27 divisors (see below), whose sum is σ = 105373662983823. Its totient is φ = 99708559904400.

The previous prime is 102502280684227. The next prime is 102502280684317. The reversal of 102502280684281 is 182486082205201.

The square root of 102502280684281 is 10124341.

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., 98482977451881 + 4019303232400 = 9923859^2 + 2004820^2 .

It is not a de Polignac number, because 102502280684281 - 2⁹ = 102502280683769 is a prime.

It is a super-2 number, since 2×102502280684281² (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 (102502280682281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60330947170 + ... + 60330948868.

Almost surely, 2^{102502280684281} is an apocalyptic number.

102502280684281 is the 10124341-st square number.

102502280684281 is the 5062171-st centered octagonal number.

It is an amenable number.

102502280684281 is a deficient number, since it is larger than the sum of its proper divisors (2871382299542).

102502280684281 is an frugal number, since it uses more digits than its factorization.

102502280684281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 49.

The spelling of 102502280684281 in words is "one hundred two trillion, five hundred two billion, two hundred eighty million, six hundred eighty-four thousand, two hundred eighty-one".