102202697916225 has 81 divisors (see below), whose sum is σ = 191367934188067. Its totient is φ = 52136408644320.

The previous prime is 102202697916217. The next prime is 102202697916227. The reversal of 102202697916225 is 522619796202201.

The square root of 102202697916225 is 10109535.

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

102202697916225 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 2 + 6 + 9 + 7 + 9 + 1 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36792971249841 + 65409726666384 = 6065721^2 + 8087628^2 .

It is not a de Polignac number, because 102202697916225 - 2³ = 102202697916217 is a prime.

It is a super-2 number, since 2×102202697916225² (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 (102202697916227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3487774924 + ... + 3487804226.

Almost surely, 2^{102202697916225} is an apocalyptic number.

102202697916225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102202697916225 is the 10109535-th square number.

102202697916225 is the 5054768-th centered octagonal number.

It is an amenable number.

102202697916225 is a deficient number, since it is larger than the sum of its proper divisors (89165236271842).

102202697916225 is an frugal number, since it uses more digits than its factorization.

102202697916225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58668 (or 29334 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 102202697916225 in words is "one hundred two trillion, two hundred two billion, six hundred ninety-seven million, nine hundred sixteen thousand, two hundred twenty-five".