102219116460409 has 27 divisors (see below), whose sum is σ = 111377653522317. Its totient is φ = 93770961058944.

The previous prime is 102219116460407. The next prime is 102219116460413. The reversal of 102219116460409 is 904064611912201.

The square root of 102219116460409 is 10110347.

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

It can be written as a sum of positive squares in 4 ways, for example, as 54833240072809 + 47385876387600 = 7404947^2 + 6883740^2 .

It is not a de Polignac number, because 102219116460409 - 2¹ = 102219116460407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102219116460407) 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, 21949561009 + ... + 21949565665.

Almost surely, 2^{102219116460409} is an apocalyptic number.

102219116460409 is the 10110347-th square number.

102219116460409 is the 5055174-th centered octagonal number.

It is an amenable number.

102219116460409 is a deficient number, since it is larger than the sum of its proper divisors (9158537061908).

102219116460409 is an frugal number, since it uses more digits than its factorization.

102219116460409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9674 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 102219116460409 in words is "one hundred two trillion, two hundred nineteen billion, one hundred sixteen million, four hundred sixty thousand, four hundred nine".