102112841601 has 27 divisors (see below), whose sum is σ = 152799389769. Its totient is φ = 65709911232.

The previous prime is 102112841557. The next prime is 102112841629. The reversal of 102112841601 is 106148211201.

It is a happy number.

The square root of 102112841601 is 319551.

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

102112841601 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 12 + 8 + 41 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23782266225 + 78330575376 = 154215^2 + 279876^2 .

It is not a de Polignac number, because 102112841601 - 2¹⁹ = 102112317313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112841681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27799101 + ... + 27802773.

Almost surely, 2^102112841601 is an apocalyptic number.

102112841601 is the 319551-st square number.

102112841601 is the 159776-th centered octagonal number.

It is an amenable number.

102112841601 is a deficient number, since it is larger than the sum of its proper divisors (50686548168).

102112841601 is an frugal number, since it uses more digits than its factorization.

102112841601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7410 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 102112841601 in words is "one hundred two billion, one hundred twelve million, eight hundred forty-one thousand, six hundred one".